Fractal structure of the effective action in (quasi)planar models with long-range interactions

E. V. Gorbar; V. P. Gusynin; V. A. Miransky; I. A. Shovkovy

doi:10.1016/S0375-9601(03)00846-6

Fractal structure of the effective action in (quasi)planar models with long-range interactions

E. V. Gorbar, V. P. Gusynin, V. A. Miransky, I. A. Shovkovy

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

24 Scopus citations

Abstract

We derive the effective potential for composite fields in a class of (quasi)planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.

Original language	English (US)
Pages (from-to)	472-477
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	313
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(03)00846-6
State	Published - Jul 14 2003
Externally published	Yes

Keywords

Composite operators
Dynamical symmetry breaking
Effective action
High-T superconductors
Long-range interaction

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/S0375-9601(03)00846-6

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title = "Fractal structure of the effective action in (quasi)planar models with long-range interactions",

abstract = "We derive the effective potential for composite fields in a class of (quasi)planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.",

keywords = "Composite operators, Dynamical symmetry breaking, Effective action, High-T superconductors, Long-range interaction",

author = "Gorbar, {E. V.} and Gusynin, {V. P.} and Miransky, {V. A.} and Shovkovy, {I. A.}",

note = "Funding Information: The work of E.V.G. was supported by the research grant from FAPEMIG. V.P.G. and V.A.M. are grateful for support from the Natural Sciences and Engineering Research Council of Canada. The research of V.P.G. has been also supported in part by NSF Grant No. PHY-0070986 and by the SCOPES-projects 7 IP 062607 and 7UKPJ062150.00/1 of Swiss NSF. The work of I.A.S. was supported by Gesellschaft f{\"u}r Schwerionenforschung (GSI) and by Bundesministerium f{\"u}r Bildung und Forschung (BMBF).",

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doi = "10.1016/S0375-9601(03)00846-6",

language = "English (US)",

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TY - JOUR

T1 - Fractal structure of the effective action in (quasi)planar models with long-range interactions

AU - Gorbar, E. V.

AU - Gusynin, V. P.

AU - Miransky, V. A.

AU - Shovkovy, I. A.

N1 - Funding Information: The work of E.V.G. was supported by the research grant from FAPEMIG. V.P.G. and V.A.M. are grateful for support from the Natural Sciences and Engineering Research Council of Canada. The research of V.P.G. has been also supported in part by NSF Grant No. PHY-0070986 and by the SCOPES-projects 7 IP 062607 and 7UKPJ062150.00/1 of Swiss NSF. The work of I.A.S. was supported by Gesellschaft für Schwerionenforschung (GSI) and by Bundesministerium für Bildung und Forschung (BMBF).

PY - 2003/7/14

Y1 - 2003/7/14

N2 - We derive the effective potential for composite fields in a class of (quasi)planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.

AB - We derive the effective potential for composite fields in a class of (quasi)planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.

KW - Composite operators

KW - Dynamical symmetry breaking

KW - Effective action

KW - High-T superconductors

KW - Long-range interaction

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M3 - Article

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SN - 0375-9601

VL - 313

SP - 472

EP - 477

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Fractal structure of the effective action in (quasi)planar models with long-range interactions

Abstract

Keywords

ASJC Scopus subject areas

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