A scattering amplitudes approach to hard thermal loops

Abstract

Inspired by recent progress on classical limits of scattering amplitudes, we show that hard thermal loops can be obtained from classical limits of off-shell currents. The classicality of hard thermal loops is made manifest by associating classical wavenumbers to soft particles. We compute the classical limit of these currents in QED, QCD and gravity. Our proposal does not involve the introduction of ghosts.

arXiv comment13 pages plus references, 3 Figures, v2: references added and minor typos corrected, v3: clarifications and references added, version to be published

References in corpus (89)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• New Developments in FeynCalc 9.0
• FeynCalc 9.3: New features and improvements
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Black holes and the double copy
• TikZ-Feynman: Feynman diagrams with TikZ
• High-energy gravitational scattering and the general relativistic two-body problem
• General Relativity from Scattering Amplitudes
• Basics of thermal field theory -- a tutorial on perturbative computations
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Radiation and the classical double copy for color charges
• Classical black hole scattering from a worldline quantum field theory
• One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
• Observables and amplitudes for spinning particles and black holes
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Kerr Black Holes as Elementary Particles
• Loop Integrands for Scattering Amplitudes from the Riemann Sphere
• On Post-Minkowskian Hamiltonians in General Relativity
• On-shell heavy particle effective theories
• Soft Collective Excitations in Hot Gauge Theories
• Generating spin polarization from vorticity through nonlocal collisions
• Advances in perturbative thermal field theory
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
• Heavy Black Hole Effective Theory
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• Gravitational Radiation from Color-Kinematics Duality
• Collider Physics at the Precision Frontier
• The Duality Between Color and Kinematics and its Applications
• Semi-classical transport theory for non-Abelian plasmas
• Spinning particles, axion radiation, and the classical double copy
• Deriving the Hard Thermal Loops of QCD from Classical Transport Theory
• Bound states and the classical double copy
• From loops to trees by-passing Feynman's theorem
• Graviton Physics
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• One-Loop Corrections from Higher Dimensional Tree Amplitudes
• Loop amplitudes in gauge theories: modern analytic approaches
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Towards gauge theories in four dimensions
• A Tree-Loop Duality Relation at Two Loops and Beyond
• Mean Field Dynamics in Non-Abelian Plasmas from Classical Transport Theory
• The Secret Chern-Simons Action for the Hot Gluon Plasma
• Loops and trees
• High Temperature Response Functions and the Non-Abelian Kubo Formula
• New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level
• Resummations in Hot Scalar Electrodynamics
• Effective Transport Equations for non-Abelian Plasmas
• From Trees to Loops and Back
• Chern-Simons Theory and the Quark-Gluon Plasma
• Classical Yang-Mills observables from amplitudes
• On higher-derivative effects on the gravitational potential and particle bending
• Open loop amplitudes and causality to all orders and powers from the loop-tree duality
• On the singular behaviour of scattering amplitudes in quantum field theory
• Color Instabilities in the Quark-Gluon Plasma
• Hard Thermal Loops, Gauged WZNW Action and the Energy of Hot Quark-Gluon Plasma
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• Hamiltonian Analysis of the Effective Action for Hard Thermal Loops in QCD
• The structure of the graviton self-energy at finite temperature
• Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
• Integrands of loop amplitudes within loop-tree duality
• Causal representation of multi-loop Feynman integrands within the loop-tree duality
• Off-shell Currents and Color-Kinematics Duality
• The 3-graviton vertex function in thermal quantum gravity
• One-loop monodromy relations on single cuts
• Gauge Structure and Semi-Classical Aspects of Hard Thermal Loops
• Causality and loop-tree duality at higher loops
• Fluctuations from dissipation in a hot non-Abelian plasma
• Generalized forward scattering amplitudes in QCD at high temperature
• Retarded Greens Functions and Forward Scattering Amplitudes in Thermal Field Theory
• The Q-cut Representation of One-loop Integrands and Unitarity Cut Method
• Tree-Loop Duality Relation beyond simple poles
• On-shell recursion for massive fermion currents
• The graviton self-energy in thermal quantum gravity
• Retarded thermal Greens functions and forward scattering amplitudes at two loops
• A Simple Derivation of the Hard Thermal Loop Effective Action
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory
• Classical transport equation in non-commutative QED at high temperature
• Note on recursion relations for the $\mathcal{Q}$-cut representation
• Forward scattering amplitudes and the thermal operator representation
• Classical Boltzmann equation and high-temperature QED

Cited by in corpus (7)

• Geodesics From Classical Double Copy
• Classical off-shell currents
• Worldline description of a bi-adjoint scalar and the zeroth copy
• On kinetic theories with color and spin from amplitudes
• Yang-Mills observables: from KMOC to eikonal through EFT
• NS-NS Spacetimes from Amplitudes
• Smoothness of Classical Limit in KMOC Formalism