Gauge Invariance and Weylpolymer Quantization
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The work Gauge Invariance and Weylpolymer Quantization represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Gauge Invariance and Weylpolymer Quantization
Resource Information
The work Gauge Invariance and Weylpolymer Quantization represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Gauge Invariance and Weylpolymer Quantization
 Statement of responsibility
 by Franco Strocchi
 Subject

 Mathematical physics
 Mathematical physics
 Physics
 Physics
 Physics
 Quantum Field Theories, String Theory
 Quantum Physics
 Quantum Physics
 Quantum field theory
 Quantum field theory
 Quantum physics
 Quantum physics
 String theory
 String theory
 Electronic resources
 Elementary Particles, Quantum Field Theory
 Elementary particles (Physics)
 Elementary particles (Physics)
 Mathematical Physics
 Mathematical Physics
 Language
 eng
 Summary
 The book gives an introduction to Weyl nonregular quantization suitable for the description of physically interesting quantum systems, where the traditional DiracHeisenberg quantization is not applicable.Â The latter implicitly assumes that the canonical variables describe observables, entailing necessarily the regularity of their exponentials (Weyl operators). However, in physically interesting cases  typically in the presence of a gauge symmetry  nonobservable canonical variables are introduced for the description of the states, namely of the relevant representations of the observable algebra. In general, a gauge invariant ground state defines a nonregular representation of the gauge dependent Weyl operators, providing a mathematically consistent treatment of familiar quantum systems  such as the electron in a periodic potential (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle  where the gauge transformations are, respectively, the lattice translations, the magnetic translations and the rotations of 2Ï. Relevant examples are also provided by quantum gauge field theory models, in particular by the temporal gauge of Quantum Electrodynamics, avoiding the conflict between the Gauss law constraint and the DiracHeisenberg canonical quantization. The same applies to Quantum Chromodynamics, where the nonregular quantization of the temporal gauge provides a simple solution of the U(1) problem and a simple link between the vacuum structure and the topology of the gauge group. Last but not least, Weyl nonregular quantization is briefly discussed from the perspective of the socalled polymer representations proposed for Loop Quantum Gravity in connection with diffeomorphism invariant vacuum states
 Image bit depth
 0
 LC call number
 QC173.96174.52
 Literary form
 non fiction
 Series statement
 Lecture Notes in Physics,
 Series volume
 904
Context
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