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Higgs mechanism in light-front quantized field theory

Abstract

The spontaneous symmetry breaking of continuous symmetry in light-front quantized scalar field theory is studied following the standard Dirac procedure for constrained dynamical systems. A non-local constraint is found to follow. The values of the constant backgrounds fields (zero modes) at the tree level, as a consequence, are shown to given by minimizing the light-front energy. The zero modes are shown to commute with the non-zero ones and the isovector built from them is seen to characterize a (non-perturbative) vacuum state and the corresponding physical sector. The infinite degeneracy of the vacuum is described by the continuum of the allowed orientations of this background isovector in the isospin space. The symmetry generators in the quantized field theory annihilate the vacuum is contrast to the case of equal-time quantization. Not all of them are conserved and the conserved ones determine the surviving symmetry of the quantum theory Lagrangian. The criteria for determining the background isovector and the counting of the number of Goldstone bosons goes as in the equal-time case. A demonstration in favour of the absence of Goldstone bosons in two dimensions is also found. Finally, is extended to an understanding of the Higgs mechanism in light-front frame. (author). 13  More>>
Authors:
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
CBPF-NF-010/92
Reference Number:
SCA: 662110; PA: AIX-26:060918; EDB-95:132385; ERA-20:027867; NTS-96:006387; SN: 95001462509
Resource Relation:
Other Information: PBD: 1992
Subject:
66 PHYSICS; QUANTUM FIELD THEORY; HIGGS MODEL; LIGHT CONE; GAUGE INVARIANCE; GOLDSTONE BOSONS; LAGRANGIAN FIELD THEORY; QUANTIZATION; QUANTUM MECHANICS; RELATIVITY THEORY; SU GROUPS; SYMMETRY; SYMMETRY BREAKING; SYMMETRY GROUPS
OSTI ID:
101856
Research Organizations:
Centro Brasileiro de Pesquisas Fisicas (CBPF), Rio de Janeiro, RJ (Brazil)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0029-3865; Other: ON: DE96600848; TRN: BR9533359060918
Availability:
INIS; OSTI as DE96600848
Submitting Site:
BRN
Size:
14 p.
Announcement Date:

Citation Formats

Srivastava, P P. Higgs mechanism in light-front quantized field theory. Brazil: N. p., 1992. Web.
Srivastava, P P. Higgs mechanism in light-front quantized field theory. Brazil.
Srivastava, P P. 1992. "Higgs mechanism in light-front quantized field theory." Brazil.
@misc{etde_101856,
title = {Higgs mechanism in light-front quantized field theory}
author = {Srivastava, P P}
abstractNote = {The spontaneous symmetry breaking of continuous symmetry in light-front quantized scalar field theory is studied following the standard Dirac procedure for constrained dynamical systems. A non-local constraint is found to follow. The values of the constant backgrounds fields (zero modes) at the tree level, as a consequence, are shown to given by minimizing the light-front energy. The zero modes are shown to commute with the non-zero ones and the isovector built from them is seen to characterize a (non-perturbative) vacuum state and the corresponding physical sector. The infinite degeneracy of the vacuum is described by the continuum of the allowed orientations of this background isovector in the isospin space. The symmetry generators in the quantized field theory annihilate the vacuum is contrast to the case of equal-time quantization. Not all of them are conserved and the conserved ones determine the surviving symmetry of the quantum theory Lagrangian. The criteria for determining the background isovector and the counting of the number of Goldstone bosons goes as in the equal-time case. A demonstration in favour of the absence of Goldstone bosons in two dimensions is also found. Finally, is extended to an understanding of the Higgs mechanism in light-front frame. (author). 13 refs.}
place = {Brazil}
year = {1992}
month = {Dec}
}