Non-Perturbative Gluon pair production from a Constant Chromo-Electric Field via the Schwinger Mechanism in Arbitrary Gauge

Abstract

We study the non-perturbative production of gluon pairs from a constant SU(3) chromo-electric background field via the Schwinger mechanism. We fix the covariant background gauge with an arbitrary gauge parameter α. We determine the transverse momentum distribution of the gluons, as well as the total probability of creating pairs per unit space time volume. We find that the result is independent of the covariant gauge parameter αused to define arbitrary covariant background gauges. We find that our non-perturbative result is both gauge invariant and gauge parameter αindependent.

arXiv commentFinal version, To be published in Physical Review D

References in corpus (18)

• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Particle production in the central rapidity region
• Pinch technique self-energies and vertices to all orders in perturbation theory
• The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results
• Non-Perturbative Quark-Antiquark Production From a Constant Chromo-Electric Field via the Schwinger Mechanism
• Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric Background Field
• On the connection between the pinch technique and the background field method
• Minijet Initial Conditions For Non-Equilibrium Parton Evolution at RHIC and LHC
• Pre-equilibrium evolution of non-abelian plasma
• Pre-equilibrium evolution of quark-gluon plasma
• Production and Equilibration of the Quark-Gluon Plasma with Chromoelectric Field and Minijets
• The pinch technique at two-loops: The case of mass-less Yang-Mills theories
• Fermion production in time-dependent fields
• Quark-antiquark pair production in space-time dependent fields
• Phase Space Description of the Leading Order Quark and Gluon Production from a Space-Time Dependent Chromofield
• J/Psi suppressions in a thermally equilibrating quark-gluon plasma at RHIC
• Dilepton emission from an equlibrating non-abelian plasma
• Gluon propagation in space-time dependent fields

Cited by in corpus (26)

• Multi-particle Production and Thermalization in High-Energy QCD
• Density matrix of a quantum field in a particle-creating background
• Modelling Early Stages of Relativistic Heavy Ion Collisions: Coupling Relativistic Transport Theory to Decaying Color-electric Flux Tubes
• Consistency restrictions on maximal electric field strength in QFT
• Transient field fluctuations effects in d+Au and Au+Au collisions at \sqrt{s_nn} = 200 GeV
• Worldline holographic Schwinger effect
• Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields
• Instability of a uniform electric field in pure non-Abelian Yang-Mills theory
• Unexciting non-Abelian electric fields
• Gauge-Invariant Quantities Characterizing Gauge Fields in Chromodynamics
• Stability analysis of non-Abelian electric fields
• On the forward cone quantization of the Dirac field in "longitudinal boost-invariant" coordinates with cylindrical symmetry
• Renormalization Group Equation and QCD Coupling Constant in the Presence of SU(3) Chromo-Electric Field
• A Note on Schwinger Mechanism and a Nonabelian Instability in a Nonabelian Plasma
• Quark and Gluon Production from a Boost-invariantly Expanding Color Electric Field
• Schwinger Mechanism for Gluon Pair Production in the Presence of Arbitrary Time Dependent Chromo-Electric Field
• Schwinger effect for non-Abelian gauge bosons
• Construction of non-Abelian electric strings
• Concerning gauge field fluctuations around classical configurations
• Correct Definition of Color Singlet P-Wave Non-Perturbative Matrix Element of Heavy Quarkonium Production
• On invariants for particle propagation in non-Abelian fields
• Schwinger Mechanism for Gluon Pair Production in the Presence of Arbitrary Time Dependent Chromo-Electric Field in Arbitrary Gauge
• Path Integration in QCD with Arbitrary Space-Dependent Static Color Potential
• Gauge Fixing Identity in the Background Field Method of QCD in Pure Gauge
• Vacuum instability by a chromoelectric field in 2 + 1-dimensions
• Massless quark production in chromoelectric field with back reaction