Ising Field Theory in a Magnetic Field: Analytic Properties of the Free Energy

P. Fonseca; A. Zamolodchikov

doi:10.1023/A:1022147532606

Ising Field Theory in a Magnetic Field: Analytic Properties of the Free Energy

P. Fonseca
, A. Zamolodchikov

Institute for Theoretical Physics

Rutgers - The State University of New Jersey, New Brunswick

Research output: Contribution to journal › Article › peer-review

131 Scopus citations

Abstract

We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain T → T_c, H → 0. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose "extended analyticity;" roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated "extended dispersion relation".

Original language	English
Pages (from-to)	527-590
Number of pages	64
Journal	Journal of Statistical Physics
Volume	110
Issue number	3-6
DOIs	https://doi.org/10.1023/A:1022147532606
State	Published - Mar 2003

Keywords

Analytic structure
Free energy
Ising model
Metastability

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title = "Ising Field Theory in a Magnetic Field: Analytic Properties of the Free Energy",

abstract = "We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain T → Tc, H → 0. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose {"}extended analyticity;{"} roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated {"}extended dispersion relation{"}.",

keywords = "Analytic structure, Free energy, Ising model, Metastability",

author = "P. Fonseca and A. Zamolodchikov",

year = "2003",

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T1 - Ising Field Theory in a Magnetic Field

T2 - Analytic Properties of the Free Energy

AU - Fonseca, P.

AU - Zamolodchikov, A.

PY - 2003/3

Y1 - 2003/3

N2 - We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain T → Tc, H → 0. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose "extended analyticity;" roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated "extended dispersion relation".

AB - We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain T → Tc, H → 0. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose "extended analyticity;" roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated "extended dispersion relation".

KW - Analytic structure

KW - Free energy

KW - Ising model

KW - Metastability

UR - https://www.scopus.com/pages/publications/0037279605

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DO - 10.1023/A:1022147532606

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SP - 527

EP - 590

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-6

ER -

Ising Field Theory in a Magnetic Field: Analytic Properties of the Free Energy

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Keywords

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