Gauge Dependence of Gravitational Correction to Running of Gauge Couplings

doi:10.1103/PHYSREVLETT.98.061801

Title: Gauge Dependence of Gravitational Correction to Running of Gauge Couplings

Full Record
Other Related Research

Abstract

Recently an interesting idea has been put forward by Robinson and Wilczek that the incorporation of quantized gravity in the framework of Abelian and non-Abelian gauge theories results in a correction to the running of gauge coupling and, as a consequence, increase the grand unification scale and asymptotic freedom. In this Letter it is shown by explicit calculations that this correction depends on the choice of gauge.

Authors:

Pietrykowski, Artur R. ^[1]

Institut of Theoretical Physics, University of Wroclaw, 50-204 Wroclaw, Plac Maxa Borna 9 (Poland)

Publication Date:: Fri Feb 09 00:00:00 EST 2007

OSTI Identifier:: 20955439

Resource Type:: Journal Article

Resource Relation:: Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevLett.98.061801; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; GAUGE INVARIANCE; GRAND UNIFIED THEORY; GRAVITATION; QUANTUM CHROMODYNAMICS

Citation Formats


                    Pietrykowski, Artur R. Gauge Dependence of Gravitational Correction to Running of Gauge Couplings.  United States: N. p., 2007. 
        Web.  doi:10.1103/PHYSREVLETT.98.061801.

Copy to clipboard


                    Pietrykowski, Artur R. Gauge Dependence of Gravitational Correction to Running of Gauge Couplings.  United States.  doi:10.1103/PHYSREVLETT.98.061801.

Copy to clipboard


                    Pietrykowski, Artur R. Fri .  
        "Gauge Dependence of Gravitational Correction to Running of Gauge Couplings".  United States.  
        doi:10.1103/PHYSREVLETT.98.061801.

Copy to clipboard


                    
@article{osti_20955439,

  title        = {Gauge Dependence of Gravitational Correction to Running of Gauge Couplings},

  author       = {Pietrykowski, Artur R.},

  abstractNote = {Recently an interesting idea has been put forward by Robinson and Wilczek that the incorporation of quantized gravity in the framework of Abelian and non-Abelian gauge theories results in a correction to the running of gauge coupling and, as a consequence, increase the grand unification scale and asymptotic freedom. In this Letter it is shown by explicit calculations that this correction depends on the choice of gauge.},

  doi          = {10.1103/PHYSREVLETT.98.061801},

  journal      = {Physical Review Letters},

  number       = 6,

  volume       = 98,

  place        = {United States},

  year         = {Fri Feb 09 00:00:00 EST 2007},

  month        = {Fri Feb 09 00:00:00 EST 2007}

}

Copy to clipboard

Journal Article:

DOI: 10.1103/PHYSREVLETT.98.061801

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Gravitational Correction to Running of Gauge Couplings

Journal Article Robinson, Sean P. ; Wilczek, Frank - Physical Review Letters

We calculate the contribution of graviton exchange to the running of gauge couplings at lowest nontrivial order in perturbation theory. Including this contribution in a theory that features coupling constant unification does not upset this unification, but rather shifts the unification scale. When extrapolated formally, the gravitational correction renders all gauge couplings asymptotically free.
DOI: 10.1103/PhysRevLett.96.231601
Running couplings and operator mixing in the gravitational corrections to coupling constants

Journal Article Anber, Mohamed M. ; Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003 ; Donoghue, John F. ; ... - Physical Review. D, Particles Fields

The use of a running coupling constant in renormalizable theories is well known, but the implementation of this idea for effective field theories with a dimensional coupling constant is, in general, less useful. Nevertheless, there are multiple attempts to define running couplings, including the effects of gravity, with varying conclusions. We sort through many of the issues involved, most particularly the idea of operator mixing and also the kinematics of crossing, using calculations in Yukawa and {lambda}{phi}{sup 4} theories as illustrative examples. We remain in the perturbative regime. In some theories with a high permutation symmetry, such as {lambda}{phi}{sup 4},more »« less
DOI: 10.1103/PHYSREVD.83.124003
Running couplings in equivariantly gauge-fixed SU(N) Yang-Mills theories

Journal Article Golterman, Maarten ; Shamir, Yigal - Physical Review. D, Particles Fields

In equivariantly gauge-fixed SU(N) Yang-Mills theories, the gauge symmetry is only partially fixed, leaving a subgroup H subset of SU(N) unfixed. Such theories avoid Neuberger's nogo theorem if the subgroup H contains at least the Cartan subgroup U(1){sup N-1}, and they are thus nonperturbatively well defined if regulated on a finite lattice. We calculate the one-loop beta function for the coupling g-tilde{sup 2}={xi}g{sup 2}, where g is the gauge coupling and {xi} is the gauge parameter, for a class of subgroups including the cases that H=U(1){sup N-1} or H=SU(M)xSU(N-M)xU(1). The coupling g-tilde represents the strength of the interaction of themore »« less
DOI: 10.1103/PhysRevD.73.014510
Infrared behavior and running couplings in interpolating gauges in QCD

Journal Article Fischer, Christian S. ; Zwanziger, Daniel - Physical Review. D, Particles Fields

We consider the class of gauges that interpolates between Landau- and Coulomb-gauge QCD, and show the nonrenormalization of the two independent ghost-gluon vertices. This implies the existence of two renormalization group (RG)-invariant running couplings, one of which is interpreted as an RG-invariant gauge parameter. We also present the asymptotic infrared limit of solutions of the Dyson-Schwinger equations in interpolating gauges. The infrared critical exponents of these solutions as well as the resulting infrared fixed point of one of the couplings are independent of the gauge parameter. This coupling also has a fixed point in the Coulomb-gauge limit and constitutes amore »« less
DOI: 10.1103/PhysRevD.72.054005
Running of the Yukawa Couplings in a Two Higgs Doublet Model

Journal Article Montes de Oca Y, J. H. ; Juarez W, S. R. ; Kielanowski, P. - AIP Conference Proceedings

We solve the one loop Renormalization Group Equations (RGE) for the Yukawa couplings in the Standard Model with two Higgs doublets. In the RGE we include the contributions of the up and down quarks. In this approximation we explore universality and unification assumptions to study the mass-hierarchy problem through the running of the vacuum expectation values.
DOI: 10.1063/1.2965064

Similar Records