General formulation and applications of the quasilocal background field method in quantum field theory

A general formulation of the quasilocal background field approach to quantum field theory that accommodates an arbitrary number of covariant derivatives of the field strength tensor, Yuv, is presented and applied to field theories in arbitrary dimensional (flat) spacetime. The background is required...

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Main Author: Tiamzon, Michelle Magalona
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Language:English
Published: Animo Repository 1998
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/2012
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-88502021-01-15T08:27:03Z General formulation and applications of the quasilocal background field method in quantum field theory Tiamzon, Michelle Magalona A general formulation of the quasilocal background field approach to quantum field theory that accommodates an arbitrary number of covariant derivatives of the field strength tensor, Yuv, is presented and applied to field theories in arbitrary dimensional (flat) spacetime. The background is required to satisfy the restriction that the nth covariant derivative of the field strength tensor vanishes thus allowing in the formalism up to the (n-1)th covariant derivative of the field strength tensor. Similarly, the matrix potential, X, is required to satisfy the restriction that its lth covariant derivative vanishes. Under these restrictions, the most general form of the background connection Nu(x) which defines the field strength tensor, Yuv=auNv-avNu+[Nu,Nv], is established inductively and the general quasilocal Green function equation is derived from this connection. This Green function equation is solved perturbatively under the assumption that the background is strong but slowly-varying. The one-loop effective action with co-variant derivative corrections is then calculated from the coincidence limit of the Green function. The first few terms in this perturbative expansion of the effective action are then evaluated and are found to agree with those obtained using more popular methods. The leading term in this perturbative expansion recovers that of Brown and Duff and hence Schwinger's QED one-loop effective action. The succeeding terms incorporate the higher derivative corrections to the effective action. The results are then used to evaluate the one-loop effective action for Yang-Mills theory in D dimensions. The one-loop effective actions that describe multigluon interactions mediated by meson, Dirac fermion and gauge particle virtual loops with derivative corrections are derived. It is hoped that the general formulation and new results presented in this thesis provide greater insight into the complexities of nonabelian theories in arbitrary dimensions. 1998-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_masteral/2012 Master's Theses English Animo Repository Field theory (Physics) Functions Quantum field theory Physics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Field theory (Physics)
Functions
Quantum field theory
Physics
spellingShingle Field theory (Physics)
Functions
Quantum field theory
Physics
Tiamzon, Michelle Magalona
General formulation and applications of the quasilocal background field method in quantum field theory
description A general formulation of the quasilocal background field approach to quantum field theory that accommodates an arbitrary number of covariant derivatives of the field strength tensor, Yuv, is presented and applied to field theories in arbitrary dimensional (flat) spacetime. The background is required to satisfy the restriction that the nth covariant derivative of the field strength tensor vanishes thus allowing in the formalism up to the (n-1)th covariant derivative of the field strength tensor. Similarly, the matrix potential, X, is required to satisfy the restriction that its lth covariant derivative vanishes. Under these restrictions, the most general form of the background connection Nu(x) which defines the field strength tensor, Yuv=auNv-avNu+[Nu,Nv], is established inductively and the general quasilocal Green function equation is derived from this connection. This Green function equation is solved perturbatively under the assumption that the background is strong but slowly-varying. The one-loop effective action with co-variant derivative corrections is then calculated from the coincidence limit of the Green function. The first few terms in this perturbative expansion of the effective action are then evaluated and are found to agree with those obtained using more popular methods. The leading term in this perturbative expansion recovers that of Brown and Duff and hence Schwinger's QED one-loop effective action. The succeeding terms incorporate the higher derivative corrections to the effective action. The results are then used to evaluate the one-loop effective action for Yang-Mills theory in D dimensions. The one-loop effective actions that describe multigluon interactions mediated by meson, Dirac fermion and gauge particle virtual loops with derivative corrections are derived. It is hoped that the general formulation and new results presented in this thesis provide greater insight into the complexities of nonabelian theories in arbitrary dimensions.
format text
author Tiamzon, Michelle Magalona
author_facet Tiamzon, Michelle Magalona
author_sort Tiamzon, Michelle Magalona
title General formulation and applications of the quasilocal background field method in quantum field theory
title_short General formulation and applications of the quasilocal background field method in quantum field theory
title_full General formulation and applications of the quasilocal background field method in quantum field theory
title_fullStr General formulation and applications of the quasilocal background field method in quantum field theory
title_full_unstemmed General formulation and applications of the quasilocal background field method in quantum field theory
title_sort general formulation and applications of the quasilocal background field method in quantum field theory
publisher Animo Repository
publishDate 1998
url https://animorepository.dlsu.edu.ph/etd_masteral/2012
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