CONSTRAINTS AND INTERACTIONS IN QUANTIZATION OF YUKAWA MODEL WITH HIGHER-ORDER DERIVATIVES

被引：0
|
作者：
Zochowski, Jan [1 ]
机构：
[1] Univ Bialystok, Fac Phys, Ul Ciolkowskiego 1L, PL-15245 Bialystok, Poland
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 92卷 / 02期
关键词：
Yukawa model; Yukawa coupling; higher-order derivative model; light-front formulation; constrained system; Dirac bracket; Dirac procedure; Dirac-Bergmann matrix; quantization; (anti-)commutator algebra; TRIVIALITY;
D O I：
10.1016/s0034-4877(23)00067-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This work is dedicated to quantization of the light-front Yukawa model in D = 1 + 3 dimensions with higher-order derivatives of a scalar field. The problem of computing Dirac brackets and the (anti-)commutator algebra of interacting fields in the presence of constraints is discussed. The Dirac method and the Ostrogradski formalism of the higher-order derivatives are exploited. The systematic method of obtaining the inverse of the functional Dirac-Bergmann matrix with interactions and higher-order derivatives is introduced in two variants. The discussion of applications and details of these two variants are conducted. The results of quantization in the form of the (anti-)commutator algebra are presented and analyzed. There is a particular emphasis on the structure of interactions for the light-front Yukawa model with higher-order derivatives.
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页码：145 / 172
页数：28
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