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Topic: Field theory

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In the News (Thu 21 Mar 19)

  Unified field theory - Wikipedia, the free encyclopedia
In physics, unified field theory is an attempt to unify all the fundamental forces and the interactions between elementary particles into a single theoretical framework.
This unified theory was governed by the exchange of four particles: the photon for electromagnetic interactions, and a neutral Z particle and two charged W particles for weak interaction.
The unified field theory must be consistent, explain all previously known aspects of gravity on a large scale, and of quantum mechanics on the subatomic level, in a single framework while making new and falsifiable predictions.
en.wikipedia.org /wiki/Unified_field_theory   (1415 words)

 Quantum field theory - Wikipedia, the free encyclopedia
Relativistic quantum field theories are indispensable in particle physics (see the standard model), although they are known to arise as effective field theories in condensed matter physics.
Classical field theory is the same as classical mechanics of an infinite number of dynamical quantities (say, tiny elements of rubber on a rubber sheet).
The particle associated with excitations of the gauge field is the gauge boson, which is the photon in the case of quantum electrodynamics.
en.wikipedia.org /wiki/Quantum_field_theory   (4428 words)

 Super G-String Field Theory (figures to appear)
Since string field theory is becoming more and more a part of everyday life (so far, no disagreement has been found with experiment [2]), we here apply this formalism to the most important string, the super G [2]-string [3].
Field theory formulations can be straightforwardly derived by the use of BRST [13] methods.
The geometry of the field theory described by Fig.
insti.physics.sunysb.edu /~siegel/parodies/sgsft.html   (2615 words)

 Quantum Field Theory
The field φ and its conjugate field π are the direct analogues of the canonical coordinate q and the generalized (canonical or conjugate) momentum p in classical mechanics of point particles.
First, quantum fields which one expects to be somehow physically concrete like classical fields are on the side of observables although, as far as the development of theories is concerned, they are the successors of states (in their position representation, namely wave functions), e.g., in the Klein-Gordon equation of relativistic QM as described above.
The transition from a classical field theory (like electromagnetism) to quantum field theory can be characterized by the transition from the field φ(x,t) to the quantum field φ̂(x,t), and a corresponding transition for its conjugate field for both of which a certain specification of canonical commutation relations holds.
plato.stanford.edu /entries/quantum-field-theory   (16483 words)

 unified field theory - a definition from Whatis.com   (Site not responding. Last check: 2007-11-06)
Unified field theory is sometimes called the Theory of Everything (TOE, for short): the long-sought means of tying together all known phenomena to explain the nature and behavior of all matter and energy in existence.
The theory of relativity explains the nature and behavior of all phenomena on the macroscopic level (things that are visible to the naked eye); quantum theory explains the nature and behavior of all phenomena on the microscopic (atomic and subatomic) level.
The current quest for a unified field theory (sometimes called the holy grail of physicists) is largely focused on superstring theory and, in particular, on an adaptation known as M-theory.
whatis.techtarget.com /definition/0,,sid9_gci554508,00.html   (447 words)

 Field Theory - Kurt Lewin
Later on, yoda in Star Wars brought field theory back into vogue, with his kind wish for Luke Skywalker, "may the force [field] be with you." But likewise, Luke had to influence the force.
In his field theory, a ‘field’ is defined as ‘the totality of coexisting facts which are conceived of as mutually interdependent’ (Lewin 1951: 240).
The field theory is the "proposition that human behavior is the function of both the person and the environment: expressed in symbolic terms, B = f (P, E)." (Deaux 9) This means that one’s behavior is related both to one’s personal characteristics and to the social situation in which one finds oneself.
www.wilderdom.com /theory/FieldTheory.html   (820 words)

 Relativity and Quantum Theory
However, this theory is inherently a many-body theory with the quanta of the normal modes of the classical field having all the properties of physical particles.
The most successful numerical approach to quantum field theory begins with a formulation of quantum mechanics developed by Feynman in which a quantum amplitude is described as a weighted integral over all possible paths (not necessarily obeying the classical equations) which start at the system's initial state and end at the final state.
The field theory analogue of the single-particle action given in the equation above is a similar polynomial in the field variables and their derivatives, integrated over space-time.
phys.columbia.edu /~cqft/physics.htm   (1637 words)

 IPAM Conformal Field Theory Program
Methods of quantum field theory may be applied to problems of topological invariants of knots and instanton moduli spaces as well and have led to a wealth of new results in pure mathematics.
Their purely algebraic formulation elevates two-dimensional conformal field theories to some of the rare examples where quantum field theories may be defined and constructed in a mathematically rigorous fashion.
The perturbative expansion of string theory in powers of the coupling constant may be formulated in terms of conformal field theories on families of two-dimensional compact Riemann surfaces, whose genus is the order of the expansion.
www.ipam.ucla.edu /programs/cft2001   (1082 words)

 12: Field theory and polynomials
Here a local field is the quotient field of a ring with a unique maximal ideal (such as a power series ring); thus for example the field of Laurent series R((x)) is a local field, as is a p-adic field Q_p.
Fields of functions of algebraic varieties (essentially the quotient fields of rings F[x1,...,xn]/(P) where P is a multivariable polynomial) are more properly treated in 14: Algebraic Geometry, although these are really just discussions of fields of finite transcendence degree over the ground field.
Likewise fields of meromorphic functions and local rings of germs of functions are usually treated with their applications to 30: Complex Analysis, 32: Several complex variables, and 58: Analysis on manifolds.
www.math.niu.edu /~rusin/known-math/index/12-XX.html   (1782 words)

 Gravity Theory -- Introducing Energy-Density Component
This new gravitational theory not only explains how gravity works, but shows how errors can arise in determining the positions of space probes, in determining the mass of the earth and other planets and in determining the value of G, the universal gravitational constant.
This new theory of gravity is part of a more general Unified Field Theory (UFT) that shows how all of the known force fields work together.
Given the new theory, the attraction is a function of the energy-density, which, of course, includes the mass.
www.allanstime.com /UnifiedFieldTheory/gravity.htm   (1715 words)

 Quantum Field Theory
Quantum field theory can be developed by adopting the path integral formulism as mentioned earlier, or by combining the field equation with canonical quantization as shown in the next sub-topic.
A renormalizable theory is one in which the details of a deeper scale are not needed to describe the physics at the present scale, save for a few experimentally measurable parameters (see more in the section about "Renormalizable Theories").
The field equation for the fermion in Eq.(39f) appears to be similar in form to the one for QED (see Eq.(13)) with the interaction Hamiltonian in Eq.(38b), except that the abelian gauge boson field A
universe-review.ca /R15-12-QFT.htm   (12276 words)

 Electron and SubQuantum Field Theory
On the SubQuantum Paradigm and SubQuantum Field Theory – SubQFT
1 On the SubQuantum Paradigm and SubQuantum Field Theory – SubQFT
The unified field is a Faraday–Maxwell electromagnetic field.
www.ltn.lv /~elefzaze   (2686 words)

 NOVA | The Elegant Universe | A Theory of Everything? | PBS
String theory proclaims, for instance, that the observed particle properties—that is, the different masses and other properties of both the fundamental particles and the force particles associated with the four forces of nature (the strong and weak nuclear forces, electromagnetism, and gravity)—are a reflection of the various ways in which a string can vibrate.
These grandiose descriptive terms are meant to signify the deepest possible theory of physics—a theory that underlies all others, one that does not require or even allow for a deeper explanatory base.
To whatever extent they and their world can be reduced to a matter of particles or fields and their interactions, they feel diminished by that knowledge....I would not try to answer these critics with a pep talk about the beauties of modern science.
www.pbs.org /wgbh/nova/elegant/everything.html   (1503 words)

 Quantum Field Theory   (Site not responding. Last check: 2007-11-06)
The framework in which quantum mechanics and special relativity are successfully reconciled is called quantum field theory.
Now the general principles on which quantum field theory are based actually allow for many different consistent theories to be constructed.
Among these various possible theories there is a class of theories, called `gauge theories' or `Yang-Mills theories' that turn out to be especially interesting and important.
www.theory.caltech.edu /people/jhs/strings/str114.html   (465 words)

 Crystal Field Theory (CFT).   (Site not responding. Last check: 2007-11-06)
The terms weak field, strong field give an indication of the splitting abilities of the ligand.
Water always give rise to small splittings of d orbitals for first row transition metal ions and hence is referred to as a weak field ligand.
Conversely, CN- is a strong field ligand, since it causes large splittings of the d-orbitals.
wwwchem.uwimona.edu.jm /courses/CFT.html   (1397 words)

 Covariant field theory   (Site not responding. Last check: 2007-11-06)
This books discusses the classical foundations of field theory, using the language of variational methods and covariance.
These notions have a deep and important connection with the second quantized field theory, shown to follow from the Schwinger Action Principle.
This book takes a pragmatic view of field theory, focusing on issues which are normally omitted from quantum field theory texts.
www.iu.hio.no /~mark/physics   (186 words)

 Unified Field Theory with New Model for Gravity
New Theory of Gravity -- A Brief Introduction - New gravity model by David W. Allan introduces an energy density component and diallel gravitational field lines as part of new Unified Field Theory.
Nuclear Blast on Moon Would Also Have Columnar Shape - Atomic explosions are classic model of new unified field theory in which high energy particles and photons travel along diallel gravitational-field lines.
Pending paper (will be titled something to this effect): "New experimental evidence for new unified field theory." To be published in a peer-review journal.
www.allanstime.com /UnifiedFieldTheory   (350 words)

 Amazon.com: Quantum Field Theory: Books: Lowell S. Brown   (Site not responding. Last check: 2007-11-06)
Quantum field theory is the basic theory of elementary particle physics.
This book develops quantum field theory starting from its foundation in quantum mechanics and incorporates the most modern methods, giving a thoroughly modern pedagogic account that starts from first principles.
Quantum field theories are quantum mechanical systems with an infinite number of degrees of freedom.
www.amazon.com /exec/obidos/tg/detail/-/0521469465?v=glance   (1030 words)

 A Simple Unifed Field Theory
It is referred to as a concept rather than a theory since it is a collection of thoughts on the subject as opposed to a complete dissertation.
Instead, many special theories were developed, each relating to a relatively narrow field of scientific research.
Because of the time delay between the motion of a particle and the change in field at the second particle, resonant conditions exist between the particles at different separations.
www.beotel.yu /~mmalovic/boblock   (1006 words)

 4815162342.com :: View topic - ULTIMATE THEORY   (Site not responding. Last check: 2007-11-06)
The satellite also revealed an anomaly in the magnetic field under South Africa; it is pointing the opposite direction from the rest of the Earth's field and has been growing for hundreds of years.
BF Skinner's dubious theories form the basis for the methods used by collective consciousness to socially engineer this 'utopia'.
They are the voices in the trees, they are the visions, they are the fl fog (metal in a magnetic field), the monster (mechanical, but designed to embody each survivor's personal fear).
www.4815162342.com /forum/viewtopic.php?t=3377   (2163 words)

 Ligand Field Theory   (Site not responding. Last check: 2007-11-06)
That this is not the case is a reflection of covalent interactions and is a limitation of the CFT ionic model.
Ligand Field Theory can be considered an extension of Crystal Field Theory such that all levels of covalent interactions can be incorporated into the model.
Treatment of the bonding in LFT is generally done using Molecular Orbital Theory.
wwwchem.uwimona.edu.jm:1104 /courses/LFT.html   (764 words)

 Amazon.com: Quantum Field Theory: Books: Lewis H. Ryder   (Site not responding. Last check: 2007-11-06)
After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the author develops the quantum theory of scalar and spinor fields, and then of gauge fields.
The emphasis throughout is on functional methods, which have played a large part in modern field theory.
Quantum field theory has traditionally been a pursuit of particle physicists.
www.amazon.com /exec/obidos/tg/detail/-/0521478146?v=glance   (1779 words)

 Lecture notes and problem set for a course in Field Theory   (Site not responding. Last check: 2007-11-06)
This course, only to be offered if a sufficient number of students request to take it, will bring you to the point of the formulation of the standard model of electro-weak and strong interactions, for the renormalisation of which 't Hooft and Veltman earned their 1999 Nobel prize in Physics.
They present and discuss the theory and these problems on the flboard for the other students.
Thus this format aims at a rather interactive method of learning field theory, as well as learning how to present ones thoughts and discuss about physics at a high level.
www.lorentz.leidenuniv.nl /vanbaal/FTcourse.html   (499 words)

 Math 254 (Number Theory)   (Site not responding. Last check: 2007-11-06)
This was the official course web page for Math 254B (Number Theory) at UC Berkeley, which I taught during the Spring 2002 semester.
Math 254B took a detailed look at class field theory, the theory of abelian extensions of number fields, which extends the reciprocity laws of Gauss, Legendre, Hilbert et al.
The Berkeley Number Theory Seminar meets Wednesdays from 3:10 to 4:00 PM in 891 Evans, and sometimes on Friday at the same time and place.
www-math.mit.edu /~kedlaya/math254b.html   (400 words)

 Field Theory
Topics in quantum field theory: Renormalization groups in Hamiltonian framework and baryon structure in a non-local QCD model,
Renormalization and resummation in finite temperature field theories,
Thermalization of boson propagators in finite temperature field theory,
www.nu.to.infn.it /Field_Theory   (859 words)

 Algebraic Quantum Field Theory   (Site not responding. Last check: 2007-11-06)
Quantum Field Theory (QFT) is the general framework for the description of the physics of relativistic quantum systems, notably of elementary particles.
It is the synthesis of Quantum Theory and Special Relativity, supplemented by the principle of Locality in space and time, and by the Spectral Condition in energy and momentum.
Algebraic QFT (AQFT) emphasizes the role of algebraic relations among observables which determine, rather than quantum fields proper, a physical system.
unith.desy.de /research/aqft   (98 words)

 Essay on the Unified Theory of the Classical Fields of Gravitation and Electromagnetism   (Site not responding. Last check: 2007-11-06)
An Essay on the Relativistic Theory of the Non-Symmetric Field
The purpose of this essay is to examine the possibility of establishing a relativistic theory of the non-symmetric field which complies with Papapetrou's interpretation of the skew part of the fundamental metric tensor.
That is, a relativistic theory where the skew part g
www.e-kr.org   (115 words)

 School of Mathematics - QFT
A program in Quantum Field Theory for mathematicians was held at the Institute for Advanced study during the academic year 1996-97.
The participants and lecturers produced lecture notes and problem sets (and some solutions to problems) throughout the year, which are stored here.
Quantum Fields and Strings: A Course For Mathematicians (P. Deligne, P. Etingof, D.S. Freed, L. Jeffrey, D. Kazhdan, J. Morgan, D.R. Morrison and E. Witten, eds.,), 2 vols., American Mathematical Society, Providence, 1999.
www.math.ias.edu /QFT   (443 words)

Comparison of the Nuclear Gravitation Field to the Gravitational Field of the Sun and the Gravitational Field of a Neutron Star
Quantum Mechanics, General Relativity, and the Nuclear Gravitation Field Theory
Properties of the Strong Nuclear Force, Nuclear Properties of Bismuth, and the Nuclear Gravitation Field Theory
www.gravitywarpdrive.com /Nuclear_Gravitation_Field_Theory.htm   (476 words)

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