Effective potential of lattice φ4 theory

David J. E. Callaway and David J. Maloof
Phys. Rev. D 27, 406 – Published 15 January 1983
PDFExport Citation

Abstract

The structure of the effective potential for lattice φ4 theory is discussed. It is shown that the effective potential V(φ^) is undefined in an infinite lattice system for certain values of φ^ if spontaneous symmetry breaking occurs. It is also shown that d2Vdφ^20 for all φ, thus precluding the familiar "double-well" shape suggested by the classical potential. These results do not depend on the spacetime dimensionality of the lattice or upon the particulars of any loop expansion. A graphical approximation procedure for the effective potential is formulated and compares very favorably with Monte Carlo results. Comparisons with strong-coupling-expansion predictions are also made.

  • Received 24 May 1982

DOI:https://doi.org/10.1103/PhysRevD.27.406

©1983 American Physical Society

Authors & Affiliations

David J. E. Callaway and David J. Maloof*

  • High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

  • *Current address: Mission Research Corp., Santa Barbara, California 93102.

References (Subscription Required)

Click to Expand
Issue

Vol. 27, Iss. 2 — 15 January 1983

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×