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

Journal Article · Sat Nov 01 00:00:00 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, Vol. 56, Issue 10; Other Information: PBD: Nov 1997
• Country of Publication: United States
• Language: English

Related Subjects

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