Monte Carlo calculations of the finite density Thirring model

We present results of the numerical simulation of the two-dimensional Thirring model at finite density and temperature. The severe sign problem is dealt with by deforming the domain of integration into complex field space. This is the first example where a fermionic sign problem is solved in a quantum field theory by using the holomorphic gradient flow approach, a generalization of the Lefschetz thimble method.

Note:

6 pages, 5 figures

Thirring model
density: finite
finite temperature
numerical calculations: Monte Carlo
dimension: 2
field theory
path integral
holomorphic
flow: Wilson

References(30)

Figures(5)

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AuroraScience

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(
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(
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Paulo Bedaque
(
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[20]

A clear discussion of the classification of all the possible integration domains and related topics in a physicist’s language is found in [25]

[20]

more mathematically oriented discussions can be found in [26-28]

[21]

The path integral at finite lattice spacing must be convergent. Standard renormalization procedure is required to define the continuum limit

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[23]

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[24]

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Tomoya Hayata
(
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)
,
Yoshimasa Hidaka
(
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)
,
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(
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)

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•
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•
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