Published December 2014 | Version v1
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The temperature dependence of the chiral condensate in the Schwinger model with Matrix Product States

Creators

  • 1. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. fuer Computing NIC
  • 2. Max-Planck-Institut fuer Quantenoptik (MPQ), Garching (Germany)
  • 3. Poznan Univ. (Poland). Faculty of Physics
  • 4. Frankfurt Univ. (Germany). Inst. fuer Theoretische Physik

Description

We present our recent results for the tensor network (TN) approach to lattice gauge theories. TN methods provide an efficient approximation for quantum many-body states. We employ TN for one dimensional systems, Matrix Product States, to investigate the 1-flavour Schwinger model. In this study, we compute the chiral condensate at finite temperature. From the continuum extrapolation, we obtain the chiral condensate in the high temperature region consistent with the analytical calculation by Sachs and Wipf.

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Additional details

Publishing Information

Imprint Pagination
7 p.
ISSN
0418-9833
Report number
DESY--14-230

Conference

Title
32. International symposium on lattice field theory
Acronym
Lattice 2014
Dates
23-28 Jun 2014
Place
New York, NY (United States)

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
46021387
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRA; BOSE-EINSTEIN CONDENSATION; CHIRALITY; ENERGY LEVELS; EXPECTATION VALUE; EXTRAPOLATION; FIELD OPERATORS; HAMILTONIANS; LATTICE FIELD THEORY; MANY-BODY PROBLEM; MATRICES; ONE-DIMENSIONAL CALCULATIONS; OPTIMIZATION; QUANTUM STATES; SCHWINGER-TOMONAGA FORMALISM; SPINOR FIELDS; TEMPERATURE DEPENDENCE; TENSORS; UNIFIED GAUGE MODELS
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; ELECTRODYNAMICS; FIELD THEORIES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MATHEMATICS; NUMERICAL SOLUTION; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM ELECTRODYNAMICS; QUANTUM FIELD THEORY; QUANTUM OPERATORS

Optional Information

Secondary number(s)
SFB-CPP--14-96