Symplectic Field Theories: Scalar and Spinor Representations

被引：2

作者：

Costa, Caroline ^{[1
,2
]}

Tenser, Marcia R. ^{[1
]}

Amorim, Ronni G. G. ^{[1
,3
]}

Fernandes, Marco C. B. ^{[1
]}

Santana, Ademir E. ^{[1
]}

Vianna, J. David M. ^{[1
,4
]}

机构：

[1] Univ Brasilia, Inst Fis, Int Ctr Phys, BR-70910900 Brasilia, DF, Brazil

[2] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP, Brazil

[3] Univ Brasilia, Fac Gama, BR-72444240 Brasilia, DF, Brazil

[4] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2018年 / 28卷 / 01期

关键词：

Moyal product; Phase space; Field theory; PHASE-SPACE; QUANTUM-MECHANICS; WIGNER FUNCTIONS; DENSITY-MATRIX; NONCOMMUTATIVE GEOMETRY; PHOTON DISTRIBUTION; QUANTIZATION; ALGEBRA; STATES; LIGHT;

D O I：

10.1007/s00006-018-0840-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using elements of symmetry, as gauge invariance, aspects of field theories represented in symplectic space are introduced and analyzed under physical bases. The states of a system are described by symplectic wave functions, which are associated with the Wigner function. Such wave functions are vectors in a Hilbert space introduced from the cotangent-bundle of the Minkowski space. The symplectic Klein-Gordon and the Dirac equations are derived, and a minimum coupling is considered in order to analyze the Landau problem in phase space.

引用

页数：18

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