skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phase diagram and fixed-point structure of two-dimensional N=1 Wess-Zumino models

Abstract

We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group (RG) formulated in terms of a manifestly off-shell supersymmetric flow equation for the effective action. Within the derivative expansion, we solve the flow of the superpotential also including the anomalous dimension of the superfield. The models exhibit a surprisingly rich fixed-point structure with a discrete number of fixed-point superpotentials. Each fixed-point superpotential is characterized by its number of nodes and by the number of RG-relevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IR-attractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the Wess-Zumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding ground-state masses.

Authors:
; ;  [1]
  1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, D-07743 Jena (Germany)
Publication Date:
OSTI Identifier:
21325397
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.80.085007; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANOMALOUS DIMENSION; EQUATIONS; GAUSSIAN PROCESSES; GROUND STATES; MASS; PERIODICITY; PHASE DIAGRAMS; RENORMALIZATION; SIMULATION; SUPERSYMMETRY; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Synatschke, Franziska, Gies, Holger, and Wipf, Andreas. Phase diagram and fixed-point structure of two-dimensional N=1 Wess-Zumino models. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.085007.
Synatschke, Franziska, Gies, Holger, & Wipf, Andreas. Phase diagram and fixed-point structure of two-dimensional N=1 Wess-Zumino models. United States. https://doi.org/10.1103/PHYSREVD.80.085007
Synatschke, Franziska, Gies, Holger, and Wipf, Andreas. Thu . "Phase diagram and fixed-point structure of two-dimensional N=1 Wess-Zumino models". United States. https://doi.org/10.1103/PHYSREVD.80.085007.
@article{osti_21325397,
title = {Phase diagram and fixed-point structure of two-dimensional N=1 Wess-Zumino models},
author = {Synatschke, Franziska and Gies, Holger and Wipf, Andreas},
abstractNote = {We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group (RG) formulated in terms of a manifestly off-shell supersymmetric flow equation for the effective action. Within the derivative expansion, we solve the flow of the superpotential also including the anomalous dimension of the superfield. The models exhibit a surprisingly rich fixed-point structure with a discrete number of fixed-point superpotentials. Each fixed-point superpotential is characterized by its number of nodes and by the number of RG-relevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IR-attractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the Wess-Zumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding ground-state masses.},
doi = {10.1103/PHYSREVD.80.085007},
url = {https://www.osti.gov/biblio/21325397}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 80,
place = {United States},
year = {2009},
month = {10}
}