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Flavor number dependence of QCD at finite density by the complex Langevin method

Yusuke Namekawa
(
- Kyoto U.
)
,
Yuhma Asano
(
- Tsukuba U., Inst. Appl. Phys.
)
,
Yuta Ito
(
- Tokuyama U.
)
,
Takashi Kaneko
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Hideo Matsufuru
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)

Nov 30, 2021

9 pages

Published in:

PoS LATTICE2021 (2022) 623

Contribution to:

- Lattice 2021
, 623
,
- Lattice 2021

Published: May 16, 2022

e-Print:

2112.00150 [hep-lat]

DOI:

10.22323/1.396.0623

Report number:

KEK-TH-2371,
KUNS-2903,
RIKEN-iTHEMS-Report-21,
RIKEN-QHP-510,
RIKEN-QHP-510, UTHEP-767

View in:

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Abstract: (SISSA)

We discuss the flavor number dependence of QCD at low temperature and high density by the complex Langevin method. In our previous work, the complex Langevin method is confirmed to satisfy the criterion for correct convergence in certain regions, such as

\mu_{\rm q} / T = 5.2-7.2

on

8^3 \times 16

and

\mu_{\rm q} / T = 1.6-9.6

on

16^3 \times 32

using

N_{\rm f} = 4

staggered fermion at

\beta = 5.7

. We extend this study to more realistic flavor cases,

N_{\rm f} = 2, 2 + 1, 3

, using Wilson fermions. We present the flavor number dependence of the validity regions of the complex Langevin method and the quark number.

Note:

9 pages, 5 figures, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology

fermion: staggered
temperature: low
fermion: Wilson
density: finite
density: high
flavor: 4
quantum chromodynamics
fermion number

References(21)

Figures(15)

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)
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)
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work in progress

S. Tsutsui
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et al.

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)
,
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(
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)

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(
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)
,
Yuhma Asano
(
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)
,
Yuta Ito
(
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)
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(
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)

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(
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)
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(
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)
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