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Titolo:
Gauge field theory coherent states (GCS): I. General properties
Autore:
Thiemann, T;
Indirizzi:
Max Planck Inst Gravitationsphys, Albert Einstein Inst, D-14476 Potsdam, Germany Max Planck Inst Gravitationsphys Potsdam Germany D-14476 otsdam, Germany
Titolo Testata:
CLASSICAL AND QUANTUM GRAVITY
fascicolo: 11, volume: 18, anno: 2001,
pagine: 2025 - 2064
SICI:
0264-9381(20010607)18:11<2025:GFTCS(>2.0.ZU;2-G
Fonte:
ISI
Lingua:
ENG
Soggetto:
SPIN DYNAMICS QSD; CANONICAL QUANTUM-GRAVITY; VASSILIEV INVARIANTS ARENA; VOLUME OPERATOR; LOOP-SPACE; STATISTICAL-MECHANICS; ASHTEKAR VARIABLES; CONSTRAINT ALGEBRA; REALITY CONDITIONS; SCALAR PRODUCT;
Tipo documento:
Review
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
138
Recensione:
Indirizzi per estratti:
Indirizzo: Thiemann, T Max Planck Inst Gravitationsphys, Albert Einstein Inst, Muhlenberg 1, D-14476 Potsdam, Germany Max Planck Inst Gravitationsphys Muhlenberg 1 Potsdam Germany D-14476
Citazione:
T. Thiemann, "Gauge field theory coherent states (GCS): I. General properties", CLASS QUANT, 18(11), 2001, pp. 2025-2064

Abstract

In this paper we outline a rather general construction of diffeomorphism covariant coherent states for quantum gauge theories. By this we mean statespsi ((A,E)), labelled by a point (A, E) in the classical phase space, consisting of canonically conjugate pairs of connections A and electric fields E, respectively, such that: (a) they are eigenstates of a corresponding annihilation operator which is a generalization of A - iE smeared in a suitable way; (b) normal ordered polynomials of generalized annihilation and creation operators have the correct expectation value; (c) they saturate the Heisenberg uncertainty bound for the fluctuations of (A) over cap, (E) over cap; and (d) they do not use any background structure for their definition, that is, they are diffeomorphism covariant. This is the first paper in a series of articles entitled 'Gauge field theory coherent states (GCS)' which aims to connect non-perturbative quantum general relativity with the low-energy physics of the standard model. In particular, coherent states enable us for the first time to take into account quantum metrics which are excited everywhere in an asymptotically flat spacetime manifold as is needed for semiclassical considerations. The formalism introduced in this paper is immediately applicable also to lattice gauge theory in the presence of a (Minkowski) background structure on a possibly infinite lattice.

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Documento generato il 29/03/20 alle ore 09:03:29