Phase diagram and fixedpoint structure of twodimensional N=1 WessZumino models
Abstract
We study the phases and fixedpoint structure of twodimensional supersymmetric WessZumino models with one supercharge. Our work is based on the functional renormalization group (RG) formulated in terms of a manifestly offshell 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 fixedpoint structure with a discrete number of fixedpoint superpotentials. Each fixedpoint superpotential is characterized by its number of nodes and by the number of RGrelevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IRattractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the WessZumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding groundstate masses.
 Authors:

 TheoretischPhysikalisches Institut, FriedrichSchillerUniversitaet Jena, MaxWienPlatz 1, D07743 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 05562821
 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; TWODIMENSIONAL CALCULATIONS
Citation Formats
Synatschke, Franziska, Gies, Holger, and Wipf, Andreas. Phase diagram and fixedpoint structure of twodimensional N=1 WessZumino models. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVD.80.085007.
Synatschke, Franziska, Gies, Holger, & Wipf, Andreas. Phase diagram and fixedpoint structure of twodimensional N=1 WessZumino models. United States. https://doi.org/10.1103/PHYSREVD.80.085007
Synatschke, Franziska, Gies, Holger, and Wipf, Andreas. Thu .
"Phase diagram and fixedpoint structure of twodimensional N=1 WessZumino models". United States. https://doi.org/10.1103/PHYSREVD.80.085007.
@article{osti_21325397,
title = {Phase diagram and fixedpoint structure of twodimensional N=1 WessZumino models},
author = {Synatschke, Franziska and Gies, Holger and Wipf, Andreas},
abstractNote = {We study the phases and fixedpoint structure of twodimensional supersymmetric WessZumino models with one supercharge. Our work is based on the functional renormalization group (RG) formulated in terms of a manifestly offshell 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 fixedpoint structure with a discrete number of fixedpoint superpotentials. Each fixedpoint superpotential is characterized by its number of nodes and by the number of RGrelevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IRattractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the WessZumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding groundstate masses.},
doi = {10.1103/PHYSREVD.80.085007},
url = {https://www.osti.gov/biblio/21325397},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 80,
place = {United States},
year = {2009},
month = {10}
}