Preprint

PUBDB-2022-07360

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png CP-violating Dashen phase transition in the two-flavor Schwinger model: a study with matrix product states

Funcke, L. ; Jansen, K.DESY* ; Kühn, S. (Corresponding author)

2022

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-07360

Report No.: MIT-CTP/5348; arXiv:2110.15642

Abstract: We numerically study the Hamiltonian lattice formulation of the two-flavor Schwinger model using matrix product states. Keeping the mass of the first flavor at a fixed positive value, we tune the mass of the second flavor through a range of negative values, thus exploring a regime where conventional Monte Carlo methods suffer from the sign problem and may run into instabilities due to zero modes. Our results indicate a phase transition at the point where the absolute value of the second flavor mass approaches the first flavor mass. The phase transition is accompanied by the formation of a fermion condensate, a steep drop of the average electric field, and a peak in the bipartite entanglement entropy. Our data hints at a second order transition, which is the 1+1D analog of the CP-violating Dashen phase transition in QCD.

Keyword(s): CP: violation ; fermion: condensation ; entropy: entanglement ; critical phenomena ; flavor ; Schwinger model ; quantum chromodynamics ; zero mode ; Hamiltonian ; stability ; lattice ; electric field ; formation ; Monte Carlo

Note: 9 pages, 3 figures, proceedings of the 38th International Symposium on Lattice Field Theory, 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology, version 2: updated funding information

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)
2. Theorie (Z_TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a conference proceedings/Contribution to a book Funcke, L. ; Jansen, K.DESY* ; Kühn, S. (Corresponding author)
CP-violating Dashen phase transition in the two-flavor Schwinger model: a study with matrix product states
202138th International Symposium on Lattice Field Theory,, LATTICE 2021, Zoom/Gather@MassachusettsZoom/Gather@Massachusetts, USA, 26 Jul 2021 - 31 Jul 20212021-07-262021-07-31 Proceedings of Science / International School for Advanced Studies (LATTICE2021), 552 (2021) [10.22323/1.396.0552]2021     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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