Chiral condensate in the Schwinger model with matrix product operators

Banuls Mari Carmen; Cichy Krzysztof; Jansen KarlSaito Hana

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Chiral condensate in the Schwinger model with matrix product operators

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Tensor network (TN) methods, in particular the matrix product states (MPS) ansatz, have proven to be a useful tool in analyzing the properties of lattice gauge theories. They allow for a very good precision, much better than standard Monte Carlo (MC) techniques for the models that have been studied so far, due to the possibility of reaching much smaller lattice spacings. The real reason for the interest in the TN approach, however, is its ability, shown so far in several condensed matter models, to deal with theories which exhibit the notorious sign problem in MC simulations. This makes it prospective for dealing with the nonzero chemical potential in QCD and other lattice gauge theories, as well as with real-time simulations. In this paper, using matrix product operators, we extend our analysis of the Schwinger model at zero temperature to show the feasibility of this approach also at finite temperature. This is an important step on the way to deal with the sign problem of QCD. We analyze in detail the chiral symmetry breaking in the massless and massive cases and show that the method works very well and gives good control over a broad range of temperatures, essentially from zero to infinite temperature.

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《Physical review, D》 |2016年第9期|共15页
作者
Banuls Mari Carmen; Cichy Krzysztof; Jansen KarlSaito Hana;
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作者单位

Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany;

Goethe Univ Frankfurt, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany;

DESY Zeuthen, NIC, Platanenallee 6, D-15738 Zeuthen, GermanyUniv Tsukuba, Ctr Computat Sci, Tsukuba, Ibaraki 3058577, Japan;

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正文语种英语
中图分类粒子物理学;场论;
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Chiral condensate in the Schwinger model with matrix product operators

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