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Topic: Quantum gauge theory


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In the News (Wed 30 Dec 09)

  
  Gauge theory - Wikipedia, the free encyclopedia
Gauge theories became even more attractive when it was realized that non-abelian gauge theories reproduced a feature called asymptotic freedom, that was believed to be an important characteristic of strong interactions—thereby motivating the search for a gauge theory of the strong force.
Gauge theories are usually discussed in the language of differential geometry.
Note that although gauge theory is dominated by the study of connections (primarily because it's mainly studied by high-energy physicists), the idea of a connection is not essential or central to gauge theory in general.
en.wikipedia.org /wiki/Gauge_theory   (2290 words)

  
 Loop quantum gravity   (Site not responding. Last check: 2007-11-06)
As a theory of quantum gravity, LQG is the main competitor of string theory, albeit a distant one: stringy people outnumber loopy people by a factor of roughly 10 and stringy papers outnumber loopy papers by a factor of roughly 50.
Although string theory had its origins in the study of quark confinement and not of quantum gravity, it was soon discovered that the string spectrum contains the graviton, and that "condensation" of certain vibration modes of strings is equivalent to a modification of the original background.
Mathematically LQG is local gauge theory of the self-dual subgroup of the complexified Lorentz group, which is related to the action of the Lorentz group on Weyl spinors commonly used in elementary particle physics.
www.sciencedaily.com /encyclopedia/loop_quantum_gravity   (6202 words)

  
 Quantum gauge theory - Wikipedia, the free encyclopedia
In order to quantize a gauge theory, like for example Yang-Mills theory, Chern-Simons or BF model, one method is to perform a gauge fixing.
However, it is much more elegant to just work with the quotient space of vector field configurations by gauge transformations.
An alternative approach using lattice approximations is covered in ( Wick rotated) lattice gauge theory.
en.wikipedia.org /wiki/Quantum_gauge_theory   (161 words)

  
 American AntiGravity - Dr. Ning Wu's Gauge-Theory of Gravity
But in quantum gauge theory of gravity, gravitational force is considered to be a kind of physical interactions, and the concept of curved space-time is only a convenient and equivalent description of the classical effects of gravitational interactions.
The basic of gauge theory of gravity is the physics picture, and quantum gauge theory of gravity is established in the physics picture of gravity.
As we have stated above, the transcendental principle of gauge theory of gravity is gauge principle, and and transcendental principles of general relativity is equivalence principle and the principle of general covariance.
www.americanantigravity.com /ning-wu-article.shtml   (4595 words)

  
 Citebase - Quantum Gauge Theory of Gravity
This quantum gauge theory of gravity is a renormalizable quantum theory.
The quantum gauge theory of gravity which is proposed in the references hep-th/0109145 and hep-th/0112062 is formulated completely in the framework of traditional quantum field theory.
The quantum gauge general relativity is proposed in the framework of quantum gauge theory of gravity.
citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/0112062   (885 words)

  
 gauge theory
In a gauge theory there is a group of transformations of the field variables (gauge transformations) that leaves the basic physics of the quantum field unchanged.
The classical theory of the electromagnetic field, proposed by the British physicist James Clerk Maxwell in 1864, is the prototype of gauge theories, though the concept of gauge transformation was not fully developed until the early 20th century by the German mathematician Hermann Weyl.
Modern work on gauge theories began with the attempt of the American physicists Chen Ning Yang and Robert L. Mills (1954) to formulate a gauge theory of the strong interaction.
search.eb.com /nobel/micro/228_45.html   (386 words)

  
 Emiliano's Site - Physics   (Site not responding. Last check: 2007-11-06)
In particular, in the paper Gauge theories from wrapped and fractional branes (with P. Di Vecchia, H. Enger and E. Lozano-Tellechea), we studied the running coupling constant and moduli space of three-dimensional Super Yang-Mills theory with eight supercharges by means of supergravity solutions describing wrapped and fractional D-branes.
In particular, in Gauge theory description of compactified pp-waves (with M. Bertolini, J. de Boer, T. Harmark and N. Obers), we studied plane-wave geometries compactified on space-like circles and their dual conformal gauge theories with reduced supersymmetry.
During the 2004 spring term, I was a teaching assistant of the string theory course held by Gerard 't Hooft at the University of Utrecht.
www.phys.uu.nl /~imeroni/physics.html   (565 words)

  
 The Quantum Tai Chi
"The 'gauge' in the Gauge Theory which is being used to unify the four forces of physics is rightly compared to the Tai Chi--the Ridgepole of the universe.
In an extension of the quantum interpretation of physicist Philip Pearle impelled by the behavior of superconductors, gauge 'symmetry breaking' collapses the wave function and happens in consciousness.
It is the quantum gauge, a free angle in the wave function.
www.empyreanquest.com /qtc.htm   (1913 words)

  
 Gauge Symmetry in Quantum Mechanics   (Site not responding. Last check: 2007-11-06)
Gauge symmetry in Electromagnetism was recognized before the advent of quantum mechanics.
This is just the standard gauge transformation of electromagnetism, but, we now see that local phase symmetry of the wavefunction requires gauge symmetry for the fields and indeed even requires the existence of the EM fields to cancel terms in the Schroedinger equation.
It turns out that the weak and the strong interactions are also gauge theories and, in some sense, have the next simplest possible gauge symmetries after the one in Electromagnetism.
hep.ucsd.edu /~branson/130/130b/130b_notes_prod/node41.html   (442 words)

  
 Non-Abelian gauge theory on q-Quantum spaces
Gauge theories on q-deformed spaces are constructed using covariant derivatives.
For this purpose a "vielbein" is introduced, which transforms under gauge transformations.
The non-Abelian case is treated by establishing a connection to gauge theories on commutative spaces, i.e.
repositories.cdlib.org /lbnl/LBNL-51361   (98 words)

  
 Gauge Field Theory   (Site not responding. Last check: 2007-11-06)
The course is an introduction to the gauge field theories of modern Particle Physics.
Gauge theory of electroweak interactions (3 lectures): Gauge symmetry in QED; non-Abelian gauge symmetry; weak interactions; electroweak interactions; Higgs mechanism; parameters of the Standard Model; spontaneous symmetry breaking; properties of the Higgs boson.
Renormalization and quantum chromodynamics (4 lectures): Ultraviolet divergences; renormalizability; dimensions of fields and couplings; unrenormalizable interactions and effective theories; colour and properties of SU(3); SU(3) gauge symmetry; gauge-invariant meson and baryon states; confinement; running coupling and asymptotic freedom.
www.hep.phy.cam.ac.uk /theory/webber/GFT   (366 words)

  
 SU_q(n) Gauge Theory (ResearchIndex)   (Site not responding. Last check: 2007-11-06)
Abstract: A field theory with local transformations belonging to the quantum group SU q (n) is defined on a classical spacetime, with gauge potentials belonging to a quantum Lie algebra.
Gauge transformations are defined for the potentials which lead to the appropriate quantum-group transformations for field strengths and covariant derivatives, defined for all elements of SU q (n) by means of the adjoint action.
1 Quantum deformation of BRST algebra (context) - Watamura - 1993
citeseer.ist.psu.edu /23997.html   (309 words)

  
 quantum field theory, quantum topodynamics, quantum topology
Quantum topodynamics is the field theory that derives from the topology of the quantum space.
Theory of the quantum space is founded on the theory of sets.
The orthomodular representation of the group and its topology is a tool to study the quantum structure of the
www.homestead.com /qft   (508 words)

  
 The Nonlinear Quantum Gauge Theory--Superrelativity - Leifer (ResearchIndex)   (Site not responding. Last check: 2007-11-06)
The Nonlinear Quantum Gauge Theory--Superrelativity - Leifer (ResearchIndex)
Such theory demands a radical reconstruction of the quantum field conception and spacetime structure, and this paves presumably way to the comprehension of the quantum nature of inertia.
2 : Superrelativity as a unification of quantum theory and relativity (context) - Leifer
citeseer.ist.psu.edu /428116.html   (409 words)

  
 Teoria dei Campi
This is an introductory course on gauge theories for students of the fourth year having already attended Theoretical Physics.
Although most of the subject is worked out in detail starting from a review of the classical theory of fields, I assume that students already know the properties of relativistic equations for particles of spin 0, 1/2 and 1.
If you are interested in the second part of the course, you may check your understanding by inspecting Non-abelian gauge theories first.
www.pd.infn.it /~feruglio/qft2.html   (1135 words)

  
 quantum_gauge_theory   (Site not responding. Last check: 2007-11-06)
Quantum gauge theory rqf3 Next: Introduction Up: Relativistic Quantum Fields 3 Previous: Power counting and renormalisability Quantum gauge theory Cheng andamp; Li Ch.
group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one dimensions.
This has been selected because of the great physical importance of four-dimensional quantum gauge theory and because of the...
quantum_gauge_theory.networklive.org   (298 words)

  
 Citebase - Gauge Theory of Quantum Gravity
A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.
Einstein's $SL(2,C)$ invariant theory of gravity emerges at low energies, since the extra degrees of freedom associated with the quadratic curvature and the internal metric only dominate at high energies.
The theory is quantized in this fixed, broken symmetry gauge as an $SU(2)$ gauge theory on a lattice with a lattice spacing equal to the Planck length.
citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:gr-qc/9401001   (443 words)

  
 Kevin Cahill's Home Page
A paper by Mario Serna and him, "Riemannian Gauge Theory and Charge Quantization," published as JHEP 10 (2003) 054, is available as 0205250.pdf.
A paper on the use of vectors in gauge theory is available as a postscript file v.ps and as a pdf file v.pdf.
A paper by Herling and Cahill, "Confinement Artifacts in the U(1) and SU(2) Compact Lattice Gauge Theories," is also available both as a postscript file and as a pdf file.
kevin.phys.unm.edu /~kevin   (2721 words)

  
 Lattice Gauge Theory & Quantum Chromodynamics: Physics on a 4D Scaffold   (Site not responding. Last check: 2007-11-06)
All these are described by a theory called Quantum Chromodyamics (QCD) in which the quarks and gluons (partons) are endowed with colour charges --- a generalisation of the electric charge in electromagnetism.
Confinement is a consequence of the coupling strength between partons growing at large distances.
This means that the traditional techniques of perturbation theory, which is used to predict properties of electromagnetic interactions, cannot be generally used in QCD.
www.ph.unimelb.edu.au /~ywong/poster/articles/latqcd2.html   (537 words)

  
 Wiley::Quantum Gauge Theories : A True Ghost Story   (Site not responding. Last check: 2007-11-06)
If regarded as operator theories, ghost fields play a very important role in quantum gauge theory, which forms the basis of modern particle physics.
The author argues that all known forces in nature-electromagnetism, weak and strong forces, and gravity-follow in a unique way from the basic principle of quantum gauge invariance.
Using that as a starting point, this volume discusses gauge theories as quantum theories, as part of a streamlined modern approach.
www3.interscience.wiley.com:8100 /WileyCDA/WileyTitle/productCd-0471414808,descCd-description.html   (292 words)

  
 Quantum Chromodynamics   (Site not responding. Last check: 2007-11-06)
Quantum Chromodynamics - Definition - Standard Model Quarks Color...
Use of the hypercube for symbolic quantum chromodynamics...
Lattice Gauge Theory & Quantum Chromodynamics: Physics on a 4D Scaffold...
www.scienceoxygen.com /phys/263.html   (107 words)

  
 Amazon.com: Books: Quantum Field Theory   (Site not responding. Last check: 2007-11-06)
Quantum Field Theory in a Nutshell by A.
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.
Quantum Field Theory : A Modern Perspective (Graduate Texts in Contemporary Physics) by V.
www.amazon.com /exec/obidos/tg/detail/-/0521478146?v=glance   (1529 words)

  
 Gauge theory - Enpsychlopedia   (Site not responding. Last check: 2007-11-06)
In the 1950s, attempting to resolve some of the great confusion in elementary particle physics, Chen Ning Yang and Robert Mills introduced non-abelian gauge theories as models to understand the strong interaction holding together nucleons in atomic nuclei.
Pauli calls gauge transformation of the first type to the one applied to fields as \Phi, while the compensating transformation in A is said to be a gauge transformation of the second type.
David Gross, Gauge theory - Past, Present and Future ( http://psroc.phys.ntu.edu.tw/cjp/v30/955.pdf), notes from a talk
www.grohol.com /wiki/Gauge_theory   (2577 words)

  
 Fields and Particles Bookmarks
Quantum Field Theories: An introduction, LN An Introduction to Quantum Field Theory, Pub
Yang-Mills Theory as a Quantum Gravity with `Aether'
On the BV Quantization of Gauge Gravitation Theory
www.geocities.com /diahmed/bookmark2.html   (2486 words)

  
 School of Physics: People-->Professor: David Finkelstein
This results in a real quantum theory, whose simple Lie group is then SO(N) for some large N. N is a stabilizing constant.
They must be contractions of a simpler theory uniting space-time-energy-momentum-field variables, which we construct at the same time.
In the simplest model, such a quantum relativistic dynamics is composed of a finite number of elementary dynamical processes, "chronons," represented by units of a Clifford algebra.
www.physics.gatech.edu /people/faculty/dfinkelstein.html   (2043 words)

  
 QUANTUM FIELD THEORY: CONTENTS   (Site not responding. Last check: 2007-11-06)
Weak Interactions: Introdduction; Leptonic weak interactions; The free vector boson field; The Feynman rules for the IVB theory; Decay rates; Applications of the IVB theory; Problem with the IVB theory; Problems.
A Gauge Theory of Weak Interactions: The simplest gauge theory, QED; Global phase transformations and conserved weak currents; The gauge invariant electro-weak interaction; Properties of the gauge bosons; Lepton and gauge boson masses.
The Standard Electro-weak Theory: The Lagrangian density in the unitary gauge; Feynman rules; Elastic electron neutrino scattering; Electron positron annihilation; The Higgs boson; Problems.
theory.ph.man.ac.uk /~graham/qftbook/contents.html   (352 words)

  
 KSU Libraries - (Section Title) - (Page Title)
By its very nature, this specialized dictionary is as authoritative as the parent dictionary, McGraw-Hill Dictionary of Scientific and Technical Terms, from which it is derived.
Areas of classical physics, such as acoustics, electricity, mechanics, & optics are represented, as well as other areas such as particle physics, quantum mechanics, and solid-state physics.
This reflects the exciting work done in the rapidly expanding fields of particle physics, gauge theory, quantum thermodynamics, electroweak theory, and the grand unified theories.
www.lib.ksu.edu /branches/physics/refaids.html   (945 words)

  
 quantum_gauge_theory   (Site not responding. Last check: 2007-11-06)
Find quantum gauge theory and more at Lycos Search.
Find quantum gauge theory at one of the best sites the Internet has to offer!
Read about Quantum Gauge Theory in the free online encyclopedia and dictionary.
www.articlesgalore.com /documents/Quantum_gauge_theory   (139 words)

  
 A gauge theory for a quantum system with isospin
A gauge theory for a quantum system with isospin
A quantum system with external symmetry is made into a principal fibre bundle with a nonAbelian Lie group as the structure group, and is equipped with a connection.
A gauge theory for a nonrigid molecule on the basis of the observation that the vector bundle associated with the principal fibre bundle provides a setting for quantum mechanics of the internal molecular motion.
stacks.iop.org /0305-4470/24/L1045   (202 words)

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