Local Approximations for Effective Scalar Field Equations of Motion

Abstract

Fluctuation and dissipation dynamics is examined at all temperature ranges for the general case of a background time evolving scalar field coupled to heavy intermediate quantum fields which in turn are coupled to light quantum fields. The evolution of the background field induces particle production from the light fields through the action of the intermediate catalyzing heavy fields. Such field configurations are generically present in most particle physics models, including Grand Unified and Supersymmetry theories, with application of this mechanism possible in inflation, heavy ion collision and phase transition dynamics. The effective evolution equation for the background field is obtained and a fluctuation-dissipation theorem is derived for this system. The effective evolution in general is nonlocal in time. Appropriate conditions are found for when these time nonlocal effects can be approximated by local terms. Here careful distinction is made between a local expansion and the special case of a derivative expansion to all orders, which requires analytic behavior of the evolution equation in Fourier space.

14 pages, 2 figures. Replaced with published version. Some extra typos corrected

References in corpus (22)

• Warm Inflation
• Instant Preheating
• Scalar perturbation spectra from warm inflation
• Strong Dissipative Behavior in Quantum Field Theory
• Microphysical Approach to Nonequilibrium Dynamics of Quantum Fields
• Non-Equilibrium Quantum Fields in the Large N Expansion
• Thermal Properties of an Inflationary Universe
• Perturbation Spectra in the Warm Inflationary Scenario
• A First Principles Warm Inflation Model that Solves the Cosmological Horizon/Flatness Problems
• Nonequilibrium time evolution of the spectral function in quantum field theory
• Affinity for Scalar Fields to Dissipate
• Quantum Rolling Down out of Equilibrium
• Fate of oscillating scalar fields in the thermal bath and their cosmological implications
• Dynamics of Interacting Scalar Fields in Expanding Space-Time
• Stochastic treatment of Disoriented Chiral Condensates within a Langevin description
• Constraining Warm Inflation with the Cosmic Microwave Background
• Warm inflation dynamics in the low temperature regime
• Incorporating Memory Effects in Phase Separation Processes
• On the Derivative Expansion at Finite Temperature
• Particle creation and warm inflation
• Derivative expansions of the non-equilibrium effective action
• Radiation back reaction on moving branes

Cited by in corpus (32)

• Warm Inflation and its Microphysical Basis
• Warm inflation model building
• Dissipation coefficients from scalar and fermion quantum field interactions
• Power spectrum for inflation models with quantum and thermal noises
• Density fluctuations from warm inflation
• Shear viscous effects on the primordial power spectrum from warm inflation
• Cosmological fluctuations of a random field and radiation fluid
• Recent developments in warm inflation
• Effective field theory approach to thermal bubble nucleation
• Theory of non-Gaussianity in warm inflation
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Runaway potentials in warm inflation satisfying the swampland conjectures
• The warm inflation story
• Formulating the Kramers problem in field theory
• Lagrangian Formulation of Stochastic Inflation: A Recursive Approach
• Bubble Nucleation to All Orders
• Non-gaussianity in the strong regime of warm inflation
• Fluctuation-dissipation dynamics of cosmological scalar fields
• On the Langevin description of nonequilibrium quantum fields
• Langevin Simulation of Scalar Fields: Additive and Multiplicative Noises and Lattice Renormalization
• Oscillating scalar dissipating in a medium
• Thermal effects on slow-roll dynamics
• Constant roll warm inflation in high dissipative regime
• Warm Inflation, Neutrinos and Dark matter: a minimal extension of the Standard Model
• Gravitational wave from warm inflation
• Dissipation of oscillating scalar backgrounds in an FLRW universe
• Eternal inflation in a dissipative and radiation environment: Heated demise of eternity
• Primordial Black Holes Dark Matter and Secondary Gravitational Waves from Warm Higgs-G Inflation
• Langevin description of gauged scalar fields in a thermal bath
• Spectra and entropy of multi-field warm inflation
• A path integral approach to the Langevin equation
• Thermal blocking of preheating