S-matrix elements for gauge theories with and without implemented constraints

被引:0
作者
Haller, K
机构
[1] Department of Physics, University of Connecticut, Storrs
关键词
D O I
10.1007/BF02550456
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive an expression for the relation between two scattering transition amplitudes which reflect the same dynamics, but which differ in the description of their initial and final state vectors. In one version, the incident and scattered states are elements of a perturbative Fock space, and solve the eigenvalue problem for the ''free'' part of the Hamiltonian--the part that remains after the interactions between particle excitations have been ''switched off.'' Alternatively, the incident and scattered states may be coherent states that are transforms of these Fock states. In earlier work, we reported on the scattering amplitudes for QED, in which a unitary transformation relates perturbative and nonperturbative sets of incident and scattered states. In this work, we generalize this earlier result to the case of transformations that are not necessarily unitary and that may not have unique inverses. We discuss the implication of this relationship for Abelian and non-Abelian gauge theories in which the ''transformed,'' nonperturbative states implement constraints, such as Gauss's law.
引用
收藏
页码:305 / 313
页数:9
相关论文
共 11 条
[1]   Implementing Gauss's law in Yang-Mills theory and QCD [J].
Belloni, M ;
Chen, LS ;
Haller, K .
PHYSICS LETTERS B, 1996, 373 (1-3) :185-192
[2]   Note on the radiation field of the electron [J].
Bloch, F ;
Nordsieck, A .
PHYSICAL REVIEW, 1937, 52 (02) :54-59
[3]   Gauss's law and gauge-invariant operators and states in QCD [J].
Chen, LS ;
Belloni, M ;
Haller, K .
PHYSICAL REVIEW D, 1997, 55 (04) :2347-2366
[4]  
Goldberger M. L., 1964, COLLISION THEORY
[5]   INTERACTION OF SCHRODINGER ELECTRONS AND PHOTONS [J].
HALLER, K ;
SOHN, RB .
PHYSICAL REVIEW A, 1979, 20 (04) :1541-1552
[6]   YANG-MILLS THEORY AND QUANTUM CHROMODYNAMICS IN THE TEMPORAL GAUGE [J].
HALLER, K .
PHYSICAL REVIEW D, 1987, 36 (06) :1839-1845
[7]   QUANTUM ELECTRODYNAMICS IN THE TEMPORAL GAUGE [J].
HALLER, K .
PHYSICAL REVIEW D, 1987, 36 (06) :1830-1838
[8]   QUANTUM GAUGE EQUIVALENCE IN QED [J].
HALLER, K ;
LIMLOMBRIDAS, E .
FOUNDATIONS OF PHYSICS, 1994, 24 (02) :217-247
[9]   Maxwell-Chern-Simons theory in covariant and coulomb gauges [J].
Haller, K ;
LimLombridas, E .
ANNALS OF PHYSICS, 1996, 246 (01) :1-48
[10]   CANONICAL QUANTIZATION OF THE GENERALIZED AXIAL GAUGE [J].
HALLER, K .
PHYSICS LETTERS B, 1990, 251 (04) :575-583