Non-Abelian basis tensor gauge theory

Basso, Edward E.; Chung, Daniel J. H.

doi:10.1103/PhysRevD.100.085003

Title: Non-Abelian basis tensor gauge theory

Abstract

Basis tensor gauge theory is a vierbein analog reformulation of ordinary gauge theories in which the difference of local field degrees of freedom has the interpretation of an object similar to a Wilson line. Here we present a non-Abelian basis tensor gauge theory formalism. Unlike in the Abelian case, the map between the ordinary gauge field and the basis tensor gauge field is nonlinear. To test the formalism, we compute the beta function and the two-point function at the one-loop level in non-Abelian basis tensor gauge theory and show that it reproduces the well-known results from the usual formulation of non-Abelian gauge theory.

Authors:: Basso, Edward E.; Chung, Daniel J. H.

Publication Date:: Mon Oct 14 00:00:00 EDT 2019

Research Org.:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1607530

Alternate Identifier(s):: OSTI ID: 1803132

Grant/Contract Number:: SC0017647

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 8; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats


                    Basso, Edward E., and Chung, Daniel J. H. Non-Abelian basis tensor gauge theory.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.085003.

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                    Basso, Edward E., & Chung, Daniel J. H. Non-Abelian basis tensor gauge theory.  United States.  https://doi.org/10.1103/PhysRevD.100.085003

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                    Basso, Edward E., and Chung, Daniel J. H. Mon .  
"Non-Abelian basis tensor gauge theory".  United States.  https://doi.org/10.1103/PhysRevD.100.085003.

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@article{osti_1607530,

  title        = {Non-Abelian basis tensor gauge theory},

  author       = {Basso, Edward E. and Chung, Daniel J. H.},

  abstractNote = {Basis tensor gauge theory is a vierbein analog reformulation of ordinary gauge theories in which the difference of local field degrees of freedom has the interpretation of an object similar to a Wilson line. Here we present a non-Abelian basis tensor gauge theory formalism. Unlike in the Abelian case, the map between the ordinary gauge field and the basis tensor gauge field is nonlinear. To test the formalism, we compute the beta function and the two-point function at the one-loop level in non-Abelian basis tensor gauge theory and show that it reproduces the well-known results from the usual formulation of non-Abelian gauge theory.},

  doi          = {10.1103/PhysRevD.100.085003},

  journal      = {Physical Review D},

  number       = 8,

  volume       = 100,

  place        = {United States},

  year         = {Mon Oct 14 00:00:00 EDT 2019},

  month        = {Mon Oct 14 00:00:00 EDT 2019}

}

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Title: Non-Abelian basis tensor gauge theory

Abstract

Citation Formats

Eine neue Erweiterung der Relativitätstheorie journal, January 1919

Higher derivative theories with constraints: exorcising Ostrogradski's ghost journal, February 2013

Gauge theories journal, November 1973

An Introduction to Quantum Field Theory book, January 1993

Quantum mechanics of 4-derivative theories journal, April 2016

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Ward identity and basis tensor gauge theory at one loop journal, June 2018

Observables of non-commutative gauge theories journal, January 2000

The Amplituhedron journal, October 2014

Confinement of quarks journal, October 1974

Partonic distributions for large x and renormalization of Wilson loop journal, September 1993

Concept of nonintegrable phase factors and global formulation of gauge fields journal, December 1975

Elektron und Gravitation. I journal, May 1929

Conservation of Isotopic Spin and Isotopic Gauge Invariance journal, October 1954

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC journal, September 2012

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Ultraviolet Behavior of Non-Abelian Gauge Theories journal, June 1973

Generalized global symmetries journal, February 2015

Reliable Perturbative Results for Strong Interactions? journal, June 1973

Gauging nonlocal Lagrangians journal, August 1991

Recursion relations for gauge theory amplitudes with massive particles journal, July 2005

QCD and strongly coupled gauge theories: challenges and perspectives journal, October 2014

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Partial-symmetries of weak interactions journal, February 1961

Quantum electrodynamics without potentials journal, July 1962

Twenty-First Century Lattice Gauge Theory: Results from the Quantum Chromodynamics Lagrangian journal, November 2012

Large N field theories, string theory and gravity journal, January 2000

Living with ghosts and their radiative corrections journal, April 2007

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Non-abelian eikonal exponentiation journal, November 1984

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Reconstruction of gauge potentials from Wilson loops journal, October 1981

Loop equations and 1N expansion journal, December 1983

Global aspects of current algebra journal, August 1983

Many-gluon correlations and the quark form factor in QCD journal, April 1984

Wilson-’t Hooft operators in four-dimensional gauge theories and S -duality journal, July 2006

A Model of Leptons journal, November 1967

Eine neue Erweiterung der Relativitätstheorie
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Gauge theories
journal, November 1973

An Introduction to Quantum Field Theory
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Quantum mechanics of 4-derivative theories
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Basis tensor gauge theory: Reformulating gauge theories with basis tensor fields
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Ward identity and basis tensor gauge theory at one loop
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Observables of non-commutative gauge theories
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Confinement of quarks
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Partonic distributions for large x and renormalization of Wilson loop
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Elektron und Gravitation. I
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Conservation of Isotopic Spin and Isotopic Gauge Invariance
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Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
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