Published July 30, 2024
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Exact lattice chiral symmetry in 2D gauge theory
- 1. Institut für Kernphysik and Institute for Advanced Simulation, Forschungszentrum Jülich, 54245 Jülich, Germany
- 2. Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, 52425 Jülich, Germany
- 3. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
- 4. Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
Description
We construct symmetry-preserving lattice regularizations of 2D QED with one and two flavors of Dirac fermions, as well as the "3450" chiral gauge theory, by leveraging bosonization and recently proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we find a sign-problem-free dual formulation.
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10.1103_PhysRevD.110.014510.pdf
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Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.110.014510;
- arXiv
- arXiv:2310.17539;
- Crossref Funder ID
- 10.13039/100000001; 10.13039/100007739; 10.13039/100000893; 10.13039/100007185;
Publishing Information
- Journal Title
- Physical Review D
- Journal Volume
- 110
- Journal Issue
- 1
- Journal Page Range
- 15 pgs.
- ISSN
- 1089-4918
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CHIRAL SYMMETRY; DIRAC EQUATION; DUALITY; FERMIONS; FIELD OPERATORS; FLAVOR MODEL; GAUGE INVARIANCE; LATTICE FIELD THEORY; LOCALITY; LORENTZ GROUPS; MODIFICATIONS; OPERATOR PRODUCT EXPANSION; QUANTUM ELECTRODYNAMICS; SECOND QUANTIZATION; SPINOR FIELDS
- Descriptors DEC
- COMPOSITE MODELS; CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; POINCARE GROUPS; QUANTIZATION; QUANTUM FIELD THEORY; QUANTUM OPERATORS; QUARK MODEL; SERIES EXPANSION; SYMMETRY; SYMMETRY GROUPS; WAVE EQUATIONS
Optional Information
- Contract/Grant/Project number
- PHY-2210452; 994302
- Notes
- Contact Email: Contact author: e.berkowitz@fz-juelich.de; Contact Email: Contact author: acherman@umn.edu; Contact Email: Contact author: tjacobson@physics.ucla.edu; Record automatically processed
- Funding organization
- National Science Foundation; Aspen Center for Physics; Simons Foundation; University of California, Los Angeles