Quantum Gravitational Contributions to Gauge Field Theories

Abstract

We revisit quantum gravitational contributions to quantum gauge field theories in the gauge condition independent Vilkovisky-DeWitt formalism based on the background field method. With the advantage of Landau-DeWitt gauge, we explicitly obtain the gauge condition independent result for the quadratically divergent gravitational corrections to gauge couplings. By employing, in a general way, a scheme-independent regularization method that can preserve both gauge invariance and original divergent behavior of integrals, we show that the resulting gauge coupling is power-law running and asymptotically free. The regularization scheme dependence is clarified by comparing with results obtained by other methods. The loop regularization scheme is found to be applicable for a consistent calculation.

17 pages, published version, emphasis on the proper treatment of quadratic divergence in the quantum gravitational computation, regularization dependence is clarified in comparison with other calculations, references added

References in corpus (14)

• Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
• Quantum gravitational contributions to quantum electrodynamics
• Absence of gravitational contributions to the running Yang-Mills coupling
• Quantum gravity and charge renormalization
• Cosmological constant and quantum gravitational corrections to the running fine structure constant
• Running couplings and operator mixing in the gravitational corrections to coupling constants
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• The Lee-Wick Fields out of Gravity
• On the Radiatively Induced Lorentz and CPT Violating Chern-Simons Term
• No Lee-Wick Fields out of Gravity
• One-Loop Renormalization of Non-Abelian Gauge Theory and βFunction Based on Loop Regularization Method
• Gauge-Invariant Quantum Gravity Corrections to Gauge Couplings via Vilkovisky-DeWitt Method and Gravity Assisted Gauge Unification
• Gravitational Contributions to Gauge Green's Functions and Asymptotic Free Power-Law Running of Gauge Coupling
• The Explicit Derivation of QED Trace Anomaly in Symmetry-Preserving Loop Regularization at One Loop Level

Cited by in corpus (11)

• Gauge-invariant quantum gravitational corrections to correlation functions
• Interacting Scalar Fields in the Context of Effective Quantum Gravity
• Gravidynamics, spinodynamics and electrodynamics within the framework of gravitational quantum field theory
• Ambiguities in the gravitational correction of quantum electrodynamics
• Theory of Quantum Gravity Beyond Einstein and Space-time Dynamics with Quantum Inflation
• Consistency and Advantage of Loop Regularization Method Merging with Bjorken-Drell's Analogy Between Feynman Diagrams and Electrical Circuits
• Quantum Structure of Field Theory and Standard Model Based on Infinity-free Loop Regularization/Renormalization
• Quadratic Contributions of Softly Broken Supersymmetry in the Light of Loop Regularization
• Gravitational Corrections to ${\Phi }^4$ Theory with Spontaneously Broken Symmetry
• Bounds on Higgs And Top Quark Masses From The Other Degenerate Vacua Near The Planck Scale With Gravitational Contributions
• Corrections to gauge theories in effective quantum gravity with a cutoff