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The average action for scalar fields near phase transitions

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Abstract

We compute the average action for fields in two, three and four dimensions, including the effects of wave function renormalization. A study of the one loop evolution equations for the scale dependence of the average action gives a unified picture of the qualitatively different behaviour in various dimensions for discrete as well as abelian and nonabelian continuous symmetry. The different phases and the phase transitions can be infered from the evolution equation. (orig.).
Authors:
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
DESY-91-088
Reference Number:
SCA: 662110; PA: DEN-92:000382; SN: 92000645261
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LAGRANGIAN FIELD THEORY; PHASE TRANSFORMATIONS; FOUR-DIMENSIONAL CALCULATIONS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS; RENORMALIZATION; ACTION INTEGRAL; SCALAR FIELDS; SCALING LAWS; POTENTIALS; ANOMALOUS DIMENSION; DIFFERENTIAL EQUATIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10114108
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE92758963; TRN: DE9200382
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
82 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Wetterich, C. The average action for scalar fields near phase transitions. Germany: N. p., 1991. Web.
Wetterich, C. The average action for scalar fields near phase transitions. Germany.
Wetterich, C. 1991. "The average action for scalar fields near phase transitions." Germany.
@misc{etde_10114108,
title = {The average action for scalar fields near phase transitions}
 author = {Wetterich, C}
 abstractNote = {We compute the average action for fields in two, three and four dimensions, including the effects of wave function renormalization. A study of the one loop evolution equations for the scale dependence of the average action gives a unified picture of the qualitatively different behaviour in various dimensions for discrete as well as abelian and nonabelian continuous symmetry. The different phases and the phase transitions can be infered from the evolution equation. (orig.).}
 place = {Germany}
 year = {1991}
 month = {Aug}
 }