The Polymer representation for the scalar field: a Wigner functional approach

被引：9
|
作者：
Berra-Montiel, Jasel [1 ,2 ]
机构：
[1] Univ Autonoma San Luis Potosi, Fac Ciencias, Campus Pedregal,Ave Parque Chapultepec 1610, San Luis Potosi 78217, Slp, Mexico
[2] Dual CP Inst High Energy Phys, Colima, Col, Mexico
来源：
CLASSICAL AND QUANTUM GRAVITY | 2020年 / 37卷 / 02期
关键词：
polymer quantum mechanics; deformation quantization; loop quantum gravity; BLACK-HOLE ENTROPY; DEFORMATION-THEORY; QUANTUM; QUANTIZATION;
D O I：
10.1088/1361-6382/ab5bc7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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 Schrodinger representation. The limiting functional corresponds to the polymer representation derived by using algebraic methods such as the GNS construction, and the Fock quantization procedure.
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页数：15
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