Convergence of Feynman integrals in Coulomb gauge QCD

doi:10.1016/J.AOP.2014.09.006

Title: Convergence of Feynman integrals in Coulomb gauge QCD

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Abstract

At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action, provided that the external gluon fields are all transverse. We show that, for the two-gluon Greens function as an example, the method can be extended to include longitudinal external fields. The longitudinal Greens functions appear in the BRST identities. As an intermediate step, we use a flow gauge, which interpolates between the Feynman and Coulomb gauges.

Authors:

Andraši, A., E-mail: aandrasi@irb.hr ^[1]; Taylor, J.C., E-mail: jct@damtp.cam.ac.uk ^[2]

Vlaška 58, Zagreb (Croatia)
DAMTP, University of Cambridge, Cambridge (United Kingdom)

Publication Date:: Mon Dec 15 00:00:00 EST 2014

OSTI Identifier:: 22403475

Resource Type:: Journal Article

Journal Name:: Annals of Physics (New York)

Additional Journal Information:: Journal Volume: 351; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACTION INTEGRAL; CONVERGENCE; FEYNMAN PATH INTEGRAL; GAUGE INVARIANCE; GLUONS; GREEN FUNCTION; QUANTUM CHROMODYNAMICS

Citation Formats


                    Andraši, A., E-mail: aandrasi@irb.hr, and Taylor, J.C., E-mail: jct@damtp.cam.ac.uk. Convergence of Feynman integrals in Coulomb gauge QCD.  United States: N. p., 2014. 
        Web.  doi:10.1016/J.AOP.2014.09.006.

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                    Andraši, A., E-mail: aandrasi@irb.hr, & Taylor, J.C., E-mail: jct@damtp.cam.ac.uk. Convergence of Feynman integrals in Coulomb gauge QCD.  United States.  https://doi.org/10.1016/J.AOP.2014.09.006

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                    Andraši, A., E-mail: aandrasi@irb.hr, and Taylor, J.C., E-mail: jct@damtp.cam.ac.uk. 2014.  
        "Convergence of Feynman integrals in Coulomb gauge QCD".  United States.  https://doi.org/10.1016/J.AOP.2014.09.006.

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@article{osti_22403475,

  title        = {Convergence of Feynman integrals in Coulomb gauge QCD},

  author       = {Andraši, A., E-mail: aandrasi@irb.hr and Taylor, J.C., E-mail: jct@damtp.cam.ac.uk},

  abstractNote = {At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action, provided that the external gluon fields are all transverse. We show that, for the two-gluon Greens function as an example, the method can be extended to include longitudinal external fields. The longitudinal Greens functions appear in the BRST identities. As an intermediate step, we use a flow gauge, which interpolates between the Feynman and Coulomb gauges.},

  doi          = {10.1016/J.AOP.2014.09.006},

  url          = {https://www.osti.gov/biblio/22403475},
  journal      = {Annals of Physics (New York)},

  issn         = {0003-4916},

  number       = ,

  volume       = 351,

  place        = {United States},

  year         = {Mon Dec 15 00:00:00 EST 2014},

  month        = {Mon Dec 15 00:00:00 EST 2014}

}

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https://doi.org/10.1016/J.AOP.2014.09.006

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