Functional determinant and Green's functions for a fermionic gauge theory on the disk

doi:https://doi.org/10.1103/PhysRevD.48.921

Title: Functional determinant and Green's functions for a fermionic gauge theory on the disk

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Abstract

We study a theory of Dirac fermions on a disk in the presence of an electromagnetic field. Using the heat-kernel technique we compute the functional determinant which results after decoupling the zero-flux gauge degrees of freedom from the fermions. We also compute the Green's functions of the remaining fermionic theory with the appropriate boundary conditions. Finally we analyze the coset model associated with this gauge theory and compute all its correlation functions.

Authors:

Moreno, E F ^[1]

Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801 (United States)

Publication Date:: 1993-07-15

OSTI Identifier:: 6236389

Resource Type:: Journal Article

Journal Name:: Physical Review, D (Particles Fields); (United States)

Additional Journal Information:: Journal Volume: 48:2; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; GREEN FUNCTION; BOUNDARY CONDITIONS; GAUGE INVARIANCE; QUANTUM OPERATORS; VERTEX FUNCTIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

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                    Moreno, E F. Functional determinant and Green's functions for a fermionic gauge theory on the disk.  United States: N. p., 1993. 
        Web.  doi:10.1103/PhysRevD.48.921.

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                    Moreno, E F. Functional determinant and Green's functions for a fermionic gauge theory on the disk.  United States.  https://doi.org/10.1103/PhysRevD.48.921

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                    Moreno, E F. Thu .  
        "Functional determinant and Green's functions for a fermionic gauge theory on the disk".  United States.  https://doi.org/10.1103/PhysRevD.48.921.

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@article{osti_6236389,

  title        = {Functional determinant and Green's functions for a fermionic gauge theory on the disk},

  author       = {Moreno, E F},

  abstractNote = {We study a theory of Dirac fermions on a disk in the presence of an electromagnetic field. Using the heat-kernel technique we compute the functional determinant which results after decoupling the zero-flux gauge degrees of freedom from the fermions. We also compute the Green's functions of the remaining fermionic theory with the appropriate boundary conditions. Finally we analyze the coset model associated with this gauge theory and compute all its correlation functions.},

  doi          = {10.1103/PhysRevD.48.921},

  url          = {https://www.osti.gov/biblio/6236389},
  journal      = {Physical Review, D (Particles Fields); (United States)},

  issn         = {0556-2821},

  number       = ,

  volume       = 48:2,

  place        = {United States},

  year         = {1993},

  month        = {7}

}

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https://doi.org/10.1103/PhysRevD.48.921

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