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Title: Leading log solution for inflationary Yukawa theory

Abstract

We generalize Starobinskii's stochastic technique to the theory of a massless, minimally coupled scalar interacting with a massless fermion in a locally de Sitter geometry. The scalar is an 'active' field that can engender infrared logarithms. The fermion is a passive field that cannot cause infrared logarithms but which can carry them, and which can also induce new interactions between the active fields. The procedure for dealing with passive fields is to integrate them out, then stochastically simplify the resulting effective action following Starobinskii. Because Yukawa theory is quadratic in the fermion this can be done explicitly using the classic solution of Candelas and Raine. We check the resulting stochastic formulation against an explicit two loop computation. We also derive a nonperturbative, leading log result for the stress tensor. Because the scalar effective potential induced by fermions is unbounded below, backreaction from this model might dynamically cancel an arbitrarily large cosmological constant.

Authors:
;  [1]
  1. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
Publication Date:
OSTI Identifier:
20870997
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 74; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.74.044019; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; BASIC INTERACTIONS; COSMOLOGICAL CONSTANT; COSMOLOGY; DE SITTER GROUP; FERMIONS; GEOMETRY; MATHEMATICAL SOLUTIONS; POTENTIALS; QUANTUM FIELD THEORY; SCALARS; STRESSES; TENSORS

Citation Formats

Miao, S P, and Woodard, R P. Leading log solution for inflationary Yukawa theory. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.74.044019.
Miao, S P, & Woodard, R P. Leading log solution for inflationary Yukawa theory. United States. https://doi.org/10.1103/PHYSREVD.74.044019
Miao, S P, and Woodard, R P. 2006. "Leading log solution for inflationary Yukawa theory". United States. https://doi.org/10.1103/PHYSREVD.74.044019.
@article{osti_20870997,
title = {Leading log solution for inflationary Yukawa theory},
author = {Miao, S P and Woodard, R P},
abstractNote = {We generalize Starobinskii's stochastic technique to the theory of a massless, minimally coupled scalar interacting with a massless fermion in a locally de Sitter geometry. The scalar is an 'active' field that can engender infrared logarithms. The fermion is a passive field that cannot cause infrared logarithms but which can carry them, and which can also induce new interactions between the active fields. The procedure for dealing with passive fields is to integrate them out, then stochastically simplify the resulting effective action following Starobinskii. Because Yukawa theory is quadratic in the fermion this can be done explicitly using the classic solution of Candelas and Raine. We check the resulting stochastic formulation against an explicit two loop computation. We also derive a nonperturbative, leading log result for the stress tensor. Because the scalar effective potential induced by fermions is unbounded below, backreaction from this model might dynamically cancel an arbitrarily large cosmological constant.},
doi = {10.1103/PHYSREVD.74.044019},
url = {https://www.osti.gov/biblio/20870997}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 74,
place = {United States},
year = {Tue Aug 15 00:00:00 EDT 2006},
month = {Tue Aug 15 00:00:00 EDT 2006}
}