Order parameter evolution in scalar QFT: Renormalization group resummation of secular terms

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.6524· OSTI ID:550393

de Vega, H J; Salgado, J F ^[1]

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1. L.P.T.H.E., Universites Pierre et Marie Curie (Paris VI) et Denis Diderot (Paris VII), Tour 16, 1er etage, 4 Place Jussieu, 75252 Paris Cedex 05 (France)

The quantum evolution equations for the field expectation value are analytically solved to cubic order in the field amplitude and to one-loop level in the {lambda}{phi}{sup 4} model. We adapt and use the renormalization group (RG) method for such nonlinear and nonlocal equations. The time dependence of the field expectation value is explicitly derived integrating the RG equations. It is shown that the field amplitude for late times approaches a finite limit as O(t{sup {minus}3/2}). This limiting value is expressed as a function of the initial field amplitude. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 550393
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLITUDES
EXPECTATION VALUE
INFLATIONARY UNIVERSE
NONLINEAR PROBLEMS
ORDER PARAMETERS
PHI4-FIELD THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SCALARS
TIME DEPENDENCE