Published January 23, 2020
| Version v1
Journal article
The Polymer representation for the scalar field: a Wigner functional approach
Creators
- 1. Dual CP Institute of High Energy Physics, Colima, Col. (Mexico)
- 2. Facultad de Ciencias, Universidad Autónoma de San Luis Potosí Campus Pedregal, Av. Parque Chapultepec 1610, Col. Privadas del Pedregal, San Luis Potosí, SLP, 78217 (Mexico)
Description
In this paper, we analyze the polymer representation of the real-valued scalar field theory within the deformation quantization formalism. Specifically, we obtain the polymer Wigner functional by taking the limit of Gaussian measures in the Schrödinger representation. The limiting functional corresponds to the polymer representation derived by using algebraic methods such as the GNS construction, and the Fock quantization procedure. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1361-6382/ab5bc7Additional details
Identifiers
Publishing Information
- Journal Title
- Classical and Quantum Gravity
- Journal Volume
- 37
- Journal Issue
- 2
- Journal Page Range
- [15 p.]
- ISSN
- 0264-9381
- CODEN
- CQGRDG
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 52057531
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DEFORMATION; FIELD THEORIES; FOCK REPRESENTATION; GAUSSIAN PROCESSES; POLYMERS; QUANTIZATION; SCALAR FIELDS; SCHROEDINGER EQUATION; WIGNER THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS