Exploring the <math display="inline"><mrow><mi>C</mi><mi>P</mi></mrow></math>-violating Dashen phase in the Schwinger model with tensor networks

Funcke, Lena; Jansen, Karl; Kühn, Stefan

doi:10.1103/PhysRevD.108.014504

Exploring the $C P$ -violating Dashen phase in the Schwinger model with tensor networks

Lena Funcke
(
- Bonn U., HISKP and
- MIT, Cambridge, CTP and
- IAIFI, Cambridge
)
,
Karl Jansen
(
- DESY, Zeuthen and
- Cyprus Inst.
)
,
Stefan Kühn
(
- DESY, Zeuthen and
- Cyprus Inst.
)

Mar 7, 2023

8 pages

Published in:

Phys.Rev.D 108 (2023) 1, 014504

Published: Jul 1, 2023

e-Print:

2303.03799 [hep-lat]

DOI:

10.1103/PhysRevD.108.014504 (publication)

Report number:

MIT-CTP/5485

View in:

ADS Abstract Service

pdf

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Abstract: (APS)

We numerically study the phase structure of the two-flavor Schwinger model with matrix product states, focusing on the (

1 + 1

)-dimensional analog of the

C P

-violating Dashen phase in QCD. We simulate the two-flavor Schwinger model around the point where the positive mass of one fermion flavor corresponds to the negative mass of the other fermion flavor, which is a sign-problem afflicted regime for conventional Monte Carlo techniques. Our results indicate that the model undergoes a

C P

-violating Dashen phase transition at this point, which manifests itself in abrupt changes of the average electric field and the analog of the pion condensate in the model. Studying the scaling of the bipartite entanglement entropy as a function of the volume, we find clear indications that this transition is not of first order.

Note:

8 pages, 3 figures, v2: updated to match journal version

CP: violation
fermion: flavor
pi: condensation
mass: negative
fermion: mass
entropy: entanglement
network: tensor
critical phenomena
Schwinger model
quantum chromodynamics

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