Monte Carlo and renormalization group local effective potentials in scalar field theories at finite temperature

Journal Article · Tue Apr 01 00:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.4990· OSTI ID:562357

Shafer, J D; Shepard, J R ^[1]

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1. Department of Physics, University of Colorado, Boulder, Colorado 80309-0446 (United States)

We derive an approximate renormalization group (RG) flow equation for the local effective potential of single-component {phi}{sup 4} field theory at finite temperature. Previous zero-temperature RG equations are recovered in the low- and high-temperature limits, in the latter case, via the phenomenon of dimensional reduction. We numerically solve our RG equations to obtain local effective potentials at finite temperature. These are found to be in excellent agreement with Monte Carlo results, especially when lattice artifacts are accounted for in the RG treatment. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 562357
• Journal Information: Physical Review, D, Vol. 55, Issue 8; Other Information: PBD: Apr 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
PHI4-FIELD THEORY
MONTE CARLO METHOD
POTENTIALS
RENORMALIZATION
SCALAR FIELDS
TEMPERATURE DEPENDENCE
LATTICE FIELD THEORY