Perturbative Vacuum Wavefunctional for Gauge Theories in the Milne Space

Abstract

The spectrum of vacuum fluctuations in the Milne space (i.e. the tau-eta coordinate system) is an important ingredient in the thermalization studies in relativistic heavy ion collisions. In this paper, the Schrodinger functional for the gauge theory perturbative vacuum is derived for the Milne space. The Wigner-transform of the corresponding vacuum density functional is also found together with the propagators. We finally identify the fluctuation spectrum in vacuum, and show the equivalence between the present approach and the symplectic product based method.

References in corpus (27)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Green's Functions in the Color Field of a Large Nucleus
• New Developments in Relativistic Viscous Hydrodynamics
• Some Features of the Glasma
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Evolution at small x_bj: The Color Glass Condensate
• Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies
• Pressure isotropization in high energy heavy ion collisions
• Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x
• Color Glass Condensate and Glasma
• Rapidity evolution of Wilson lines at the next-to-leading order
• Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order
• Initial Singularity of the Little Bang
• Particle production in field theories coupled to strong external sources I. Formalism and main results
• The Gluon Propagator in non-Abelian Weizsäcker-Williams fields
• Role of quantum fluctuations in a system with strong fields: Onset of hydrodynamical flow
• High energy factorization in nucleus-nucleus collisions III. Long range rapidity correlations
• The initial spectrum of fluctuations in the little bang
• The Boltzmann Equation in Classical and Quantum Field Theory
• Particle production in field theories coupled to strong external sources. II: Generating functions
• Fluctuations of the initial color fields in high energy heavy ion collisions
• The Schrodinger Wave Functional and Vacuum States in Curved Spacetime
• How particles emerge from decaying classical fields in heavy ion collisions: towards a kinetic description of the Glasma
• The Schrodinger Wave Functional and Vacuum State in Curved Spacetime II. Boundaries and Foliations
• Scenario for Ultrarelativistic Nuclear Collisions: III. Gluons in the expanding geometry
• QCD in heavy ion collisions