Percolation Temperature and the 'Instability' of the Effective Potential - INSPIRE

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Percolation Temperature and the 'Instability' of the Effective Potential

C. Aragao de Carvalho
(
- Rio de Janeiro, Pont. U. Catol.
)
,
D. Bazeia
(
- Paraiba U.
)
,
Oscar J.P. Eboli
(
- Sao Paulo U.
)
,
G.C. Marques
(
- Sao Paulo U.
)
,
A.J. da Silva
(
- Sao Paulo U.
)

Jul, 1984

24 pages

Published in:

Phys.Rev.D 31 (1985) 1411

DOI:

10.1103/PhysRevD.31.1411

Report number:

IFUSP/P-478

View in:

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Abstract: (APS)

We show that in spontaneously broken λφ4 theory the percolation temperature coincides with the temperature at which the semiclassical (loop) expansion of the effective potential (free energy) of the system around a uniform field configuration fails. This allows us to extract the percolation temperature directly from the effective potential. The addition of fermions or gauge fields does not alter the result as long as they are weakly coupled to the scalars. The coincidence holds in the high-temperature limit.

field theory: scalar
SPONTANEOUS SYMMETRY BREAKING
APPROXIMATION: EFFECTIVE POTENTIAL
APPROXIMATION: semiclassical
PERTURBATION THEORY: HIGHER-ORDER
FIELD THEORY: FINITE TEMPERATURE
FIELD THEORY: CRITICAL PHENOMENA

References(12)

Figures(0)

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