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Topic: Quantum field theory in curved spacetime

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Quantum field theory

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	Quantum field theory on curved spacetime at the Erwin Schrödinger Institute
		Quantum field theory on curved spacetime at the Erwin Schrödinger Institute
		The Bisognano-Wichmann theorem states that in Minkowski spacetime, the restriction of the vacuum state to a wedge region is a KMS state with respect to a 1-parameter subgroup of the Poincare group.
		In Anti-de Sitter spacetime the wedges are in one to one correspondence with double cones in the Minkowski spacetime at spacelike infinity.
	www.phys.lsu.edu /mog/mog20/node16.html (1098 words)

	Wikinfo \| Loop quantum gravity (Site not responding. Last check: 2007-11-03)
		Quantum field theory on curved (non-Minkowskian) backgrounds, while not a quantum theory of gravity, has shown that some of the core assumptions of quantum field theory cannot be carried over to curved spacetime, let alone to full-blown quantum gravity.
		LQG inherits this geometric interpretation of gravity, and posits that a quantum theory of gravity is fundamentally a quantum theory of spacetime.
		Because this was a quantum theory of the rotation group and not the lorentz group, Penrose went on to develop twistors.
	wikinfo.org /wiki.php?title=Loop_quantum_gravity (3571 words)

	Quantum Field Theory (Stanford Encyclopedia of Philosophy)
		Quantum Field Theory (QFT) is the mathematical and conceptual framework for contemporary elementary particle physics.
		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.
		A relativistic quantum theory of a fixed number of particles, satisfying in particular the localizability and the locality condition, has to assume a world devoid of particles (or at least a world in which particles can never be detected) in order not to contradict itself.
	plato.stanford.edu /entries/quantum-field-theory (16460 words)

	Quantum field theory in curved spacetime - Wikipedia, the free encyclopedia
		Quantum field theory in curved spacetimes is an extension of standard quantum field theory to curved spacetimes.
		Probably the most striking application of the theory of quantum fields in curved spacetime is Hawking's prediction that fl holes radiate with a thermal spectrum.
		The theory of quantum field theory in curved spacetime can be considered as a first approximation of the inaccessible theory of quantum gravity.
	en.wikipedia.org /wiki/Quantum_field_theory_in_curved_spacetime (328 words)

	Quantum Field Theory in Curved Spacetime
		Quantum transport theory in curved spacetimes (using the covariant Wigner function formalism) was the topic of my Maryland Ph.D. thesis carried out under the benevolent supervision of Bei-lok Hu and which then led on to an invigorating post-doc with Bill Unruh at UBC.
		Inverse-Scattering Theory and the Density Perturbations from Inflation, Salman Habib, Katrin Heitmann, and Gerard Jungman, Phys.
		Quantum Kinetic Field Theory in Curved Spacetime: Covariant Wigner Function and Liouville-Vlasov Equations, Esteban Calzetta, Salman Habib, and Bei-Lok Hu, Phys.
	t8web.lanl.gov /people/salman/qftcst.html (362 words)

	Department of Mathematics (Site not responding. Last check: 2007-11-03)
		The quantum gravity group carries out research on various aspects of quantum gravity as well as on some allied areas of mathematical physics, including certain topics in quantum mechanics and also in classical general relativity.
		Recent work by Fewster has been directed towards developing "quantum energy inequalities" for quantum fields which show (roughly speaking) that the magnitude and duration of negative energy densities are constrained: the energy density cannot be too negative for too long.
		Kay proposed a weakening of the usual formulation of quantum field theory for such situations; this was further investigated by Fewster and Higuchi (gr-qc/9508051) and then Fewster (gr-qc/9804012).
	maths.york.ac.uk /www/PhysicsGravity (1020 words)

	General Relativity
		A great deal of my research has focused on the theory of fl holes---regions of spacetime where gravity is so strong that nothing can escape---and the remarkable (mathematical and physical) analogy between the laws of fl hole physics and the ordinary laws of thermodynamics.
		In this approach, gravity is treated classically, but all other fields are treated in accord with the principles of quantum field theory.
		Some major issues of principle arise in the formulation of this theory on account of the lack of Poincare symmetry and the absence of a preferred vacuum state, but it has recently been shown that the theory can be formulated in a fully satisfactory manner.
	physics.uchicago.edu /t_rel.html (695 words)

	References > W
		"Quantum field theory in curved spacetime" in Julia and Zinn-Justin 95.
		"Euclidean quantum gravity on a lattice" NPB 210 (1982) 229-245 [>regge].
		"Quantum field theory, grassmannians and algebraic curves" CMP 113 (1988) 529-600.
	www.phy.olemiss.edu /~luca/Refs/w.html (7030 words)

	Research in Quantum Gravity in York
		entanglement between the quantum gravitational field and the quantum state of macroscopic quantum systems which is ultimately responsible for those systems being (with some probability distribution) in one or other of a number of definite spatial configurations.
		Schrodinger's cat this theory offers an explanation as to why the cat has to be either dead or alive.
		gr-qc/9603045) also supports the view that quantum theory (at least as presently understood) cannot generally be formulated in the presence of time machines.
	www-users.york.ac.uk /~cjf3/gravity.htm (1056 words)

	Lessons from Topological Quantum Field Theory
		It is often assumed that at a fundamental level, the laws of nature in quantum theory describe time evolution using unitary operators.
		In quantum field theory on curved spacetime, space and spacetime are not just manifolds: they come with fixed `background metrics' that allow us to measure distances and times.
		The big difference is that in topological quantum field theory we cannot measure time in seconds, because there is no background metric available to let us count the passage of time.
	math.ucr.edu /home/baez/quantum/node2.html (1456 words)

	QUANTUM FIELD THEORY, BEYOND MERES
		With Mandl you will always be close to the quantum of the field,which is the particle, you will see it right in fron of your eyes beeing created, propagated and then annihilated, and you will have a clear picture of what is really going on (quantum theory permitting of course).
		The quantum field in turn is an effective structure appearing at low energies due to three fundamental properties of our world: Clustering, relativity, and basic quantum mechanics.
		In Wald's `QFT in Curved Spacetime and Black Hole Thermodynamics' fields are given primary status and explicit consideration of the symplectic spaces, manifolds and geometry associated with the classical space of solutions is made.
	www.omega23.com /new_topics/Quantum_Theory.html (1164 words)

	Fields and Particles Bookmarks (Site not responding. Last check: 2007-11-03)
		QED: Quantum Theory of the Electromagnetic Field Pub
		Quantum Field Theory and Geometry LN Quantum Geometry and Quantum Field Theory Pub
		Yang-Mills Theory as a Quantum Gravity with `Aether'
	www.geocities.com /diahmed/bookmark2.html (2853 words)

	Aspects of Quantum Field Theory in Curved Spacetime - Cambridge University Press (Site not responding. Last check: 2007-11-03)
		The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of fl-hole evaporation.
		The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.
		Quantum field theory in an expanding universe; 8.
	www.cambridge.org /catalogue/catalogue.asp?ISBN=0521377684 (305 words)

	INI : Abstracts : GMR : Introduction to algebraic quantum field theory in curved spacetime (Site not responding. Last check: 2007-11-03)
		Introduction to algebraic quantum field theory in curved spacetime
		This talk is a pedagogical introduction to the ideas and methods of quantum field theory in curved spacetime using an approach based on abstract $*$-algebras of observables.
		In particular, the construction of the algebra used for the real scalar field will be discussed in detail, as will the GNS construction of Hilbert space representations.
	www.newton.cam.ac.uk /programmes/GMR/fewster.html (78 words)

	LEHRSTUHL MUKHANOV - T VI - Quantum Fields and Gravitation
		This course on quantum field theory in curved spacetime was given by Prof.
		Topics such as quantization of higher-spin or interacting fields in curved spacetime, direct renormalization of the energy-momentum tensor, and the theory of cosmological perturbations are left out.
		For instance, only free scalar fields are considered for quantization; background spacetimes are always chosen to be conformally flat; the Casimir effect, the Unruh effect and the Hawking radiation are computed for massless scalar fields in suitable 1+1-dimensional spacetimes.
	www.theorie.physik.uni-muenchen.de /~serge/T6 (1108 words)

	Open Directory - Science: Physics: Quantum Mechanics: Quantum Field Theory (Site not responding. Last check: 2007-11-03)
		Casimir Effect: Physical Manifestations of Zero-Point Energy - Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces.These lectures present the theory of the Casimir effect, primarily formulated in terms of Green's functions.
		Chern-Simons Theory - A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented.
		Quantum Fields Near Black Holes - This review gives an introduction into problems, concepts and techniques when quantizing matter fields near fl holes.
	dmoz.org /Science/Physics/Quantum_Mechanics/Quantum_Field_Theory (659 words)

	Robert Wald (Fermi Institute ~ University of Chicago), Some Lessons from Recent Progress in Quantum Field Theory in ...
		The usual formulation of quantum field theory in Minkowski spacetime relies heavily on Poincare invariance and the existence of a Poincare invariant vacuum state.
		Nevertheless, during the past ten years, a mathematically rigorous perturbative formulation of interacting quantum field theory in curved spacetime has been given.
		I will summarize this progress and describe the nature of the resulting theory, where, at a fundamental level, there is no preferred "vacuum state" or preferred notion of "particles" and where "vacuum subtraction" is clearly seen to be an incorrect renormalization prescription (except in Minkowski spacetime).
	online.itp.ucsb.edu /online/strings_c03/wald (205 words)

	The Superstring Store
		In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime, the most interesting facet of which is the predicted decay of fl holes through quantum Hawking radiation.
		This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields.
		Chandrasekhar was the first physicist to seriously proposed that real stars could collapse to become fl holes, and for delivering this challenging wisdom to the heavyweights of his field, the young physicist nearly paid with his career.
	www.superstringtheory.com /store/bhbooks2.html (361 words)

	Publisher description for Library of Congress control number 94011065
		In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime.
		He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory.
		In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory.
	www.loc.gov /catdir/description/uchi051/94011065.html (231 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 (936 words)

	The *-Category of Hilbert Spaces
		In a so-called unitary topological quantum field theory (the terminology is a bit unfortunate), we demand that the functor
		This means that in the analogy between general relativity and quantum theory, the analogue of time reversal is taking the adjoint of an operator between Hilbert spaces.
		In fact, quantum theory can be seen as a modified version of the theory of relations in which Boolean algebra has been replaced by the algebra of complex numbers!
	math.ucr.edu /home/baez/quantum/node3.html (1701 words)

	Astrophysics/Cosmology
		Gravitationally Induced Neutrino Oscillation Phases in Static Spacetimes, Tanmoy Bhattacharya, Salman Habib, and Emil Mottola, Phys.
		Spin Dynamics of the LAGEOS Satellite in Support of a Measurement of the Earth's Gravitomagnetism, Salman Habib, Daniel E. Holz, Arkady Kheyfets, Richard A. Matzner, Warner A. Miller, and Brian W. Tollman, Phys.
		Wigner Function and Decoherence in Quantum Cosmology, Salman Habib and Raymond Laflamme, Phys.
	t8web.lanl.gov /people/salman/cosmo.html (803 words)

	Table of contents for Library of Congress control number 81003851
		Table of contents for Library of Congress control number 81003851
		Table of contents for Quantum fields in curved space / N.D. Birrell and P.C.W. Davies.
		Library of Congress subject headings for this publication: Quantum field theory, Gravitation, Astrophysics
	www.loc.gov /catdir/toc/cam022/81003851.html (60 words)

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