Hard thermal loops in the real-time formalism

Abstract

We present a systematic discussion of Braaten and Pisarski's hard thermal loop (HTL) effective theory within the framework of the real-time (Schwinger-Keldysh) formalism. As is well known, the standard imaginary-time HTL amplitudes for hot gauge theory express the polarization of a medium made out of nonabelian charged point-particles; we show that the complete real-time HTL theory includes, in addition, a second set of amplitudes which account for Gaussian fluctuations in the charge distributions, but nothing else. We give a concise set of graphical rules which generate both set of functions, and discuss its relation to classical plasma physics.

14 pages, 6 figures

References in corpus (20)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Photon and Gluon Emission in Relativistic Plasmas
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Bremsstrahlung and photon production in thermal QCD
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
• Kinetic Equations for Longwavelength Excitations of the Quark-Gluon Plasma
• On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• On the Convergence of Perturbative QCD at High Temperature
• Particle production in field theories coupled to strong external sources I. Formalism and main results
• High Temperature Response Functions and the Non-Abelian Kubo Formula
• Transformations of real-time finite-temperature Feynman rules
• Long Range Physics in a Hot Non-Abelian Plasma
• Retarded-Advanced N-point Green Functions in thermal field theories
• Equilibrium and Non-Equilibrium Hard Thermal Loop Resummation in the Real Time Formalism
• N-Point Vertex Functions, Ward-Takahashi Identities and Dyson-Schwinger Equations in Thermal QCD/QED in the Real Time Hard-Thermal-Loop Approximation
• Effective non-perturbative real-time dynamics of soft modes in hot gauge theories

Cited by in corpus (14)

• Basics of thermal field theory -- a tutorial on perturbative computations
• Next-to-leading order thermal photon production in a weakly coupled quark-gluon plasma
• Perturbative Thermal QCD: Formalism and Applications
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• On thermal corrections to near-threshold annihilation
• Parton energy loss and momentum broadening at NLO in high temperature QCD plasmas
• Spectral Representation of Thermal OTO Correlators
• Soft photon propagation in a hot and dense medium to next-to-leading order
• Hydrodynamic fluctuations from a weakly coupled scalar field
• Soft gluon self-energy at finite temperature and density: hard NLO corrections in general covariant gauge
• Photon Damping in One-Loop HTL Perturbation Theory
• Two-loop hard thermal loops for any model
• Energy and momentum dependence of the soft-axion interaction rate
• Universal thermalization dynamics in (1+1)d QFTs