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Quantum gauge field theory.

Krasnansky, Marek.

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Quantum gauge field theory.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Quantum gauge field theory./
Author:	Krasnansky, Marek.
Description:	102 p.
Notes:	Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4570.
Contained By:	Dissertation Abstracts International68-07B.
Subject:	Physics, Theory. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3270964
ISBN:	9780549110378

Quantum gauge field theory.
Krasnansky, Marek.

Quantum gauge field theory. - 102 p.

Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4570.

Thesis (Ph.D.)--University of Connecticut, 2007.

Canonical quantization of a gauge theory in the spatial axial gauge produces an anisotropic Hamiltonian and matter particles surrounded by physically unrealistic asymmetric electric or chromoelectric fields. In the first part of my dissertation I show how to restore rotational symmetry for a nonabelian theory with a gauge fixing condition Aa3 = 0. I also discuss similarities between recovering isotropy in the spatial axial gauge and finding gauge invariant quantities in the Weyl gauge in both abelian and nonabelian field theories.

ISBN: 9780549110378Subjects--Topical Terms:

1019422
Physics, Theory.

Quantum gauge field theory.
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008 110704s2007 ||||||||||||||||| ||eng d
020 $a 9780549110378
035 $a (UMI)AAI3270964
035 $a AAI3270964
040 $a UMI $c UMI
100 1 $a Krasnansky, Marek. $3 1281797
245 1 0 $a Quantum gauge field theory.
300 $a 102 p.
500 $a Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4570.
502 $a Thesis (Ph.D.)--University of Connecticut, 2007.
520 $a Canonical quantization of a gauge theory in the spatial axial gauge produces an anisotropic Hamiltonian and matter particles surrounded by physically unrealistic asymmetric electric or chromoelectric fields. In the first part of my dissertation I show how to restore rotational symmetry for a nonabelian theory with a gauge fixing condition Aa3 = 0. I also discuss similarities between recovering isotropy in the spatial axial gauge and finding gauge invariant quantities in the Weyl gauge in both abelian and nonabelian field theories.
520 $a In the second part I further develop integration-by-parts rules for Feynman diagrams involving massive scalar propagators in a background electromagnetic field. I show that there is a simple diagrammatic interpretation of mass renormalization in the two-loop scalar QED Heisenberg-Euler effective action for a general background field, which is a generalization of previously obtained results. For a constant background the fully renormalized effective action is found. No integrals need to be evaluated, and the explicit form of the background field propagators is not needed. This dramatically simplifies the computation of the renormalized two-loop effective action for scalar QED. I also show that when the constant background field satisfies F 2 = --f21, which in four dimensions coincides with the condition for self-duality, or definite helicity, the two-loop effective action can be reduced to simple one-loop quantities, using just algebraic manipulations, in arbitrary even dimensions. This result relies on new recursion relations between two-loop and one-loop diagrams, with background field propagators. It also yields an explicit form of the renormalized two-loop effective action in a general constant background field in two dimensions. Further I show how these diagrammatical rules can be applied to calculation of the three-loop effective action.
590 $a School code: 0056.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a University of Connecticut. $3 1017435
773 0 $t Dissertation Abstracts International $g 68-07B.
790 $a 0056
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3270964