Approximations for strongly-coupled supersymmetric quantum mechanics

Daniel Kabat; Gilad Lifschytz

doi:10.1016/S0550-3213(99)00818-4

Approximations for strongly-coupled supersymmetric quantum mechanics

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

Abstract

We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0q 1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be applied to large-N theories, by keeping just the planar contribution to the gap equations. We analyze several models of scalar supersymmetric quantum mechanics, and show that the Gaussian approximation correctly distinguishes between a moduli space, mass gap, and supersymmetry breaking at strong coupling. Then we apply the approximation to a bosonic large-TV gauge theory, and argue that a Gross-Witten transition separates the weak-coupling and strong-coupling regimes. A similar transition should occur in a generic large-N gauge theory, in particular in 0-brane quantum mechanics, q 2000 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	419-456
Number of pages	38
Journal	Nuclear Physics B
Volume	571
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(99)00818-4
State	Published - 3 Apr 2000
Externally published	Yes

Bibliographical note

Funding Information:
We are grateful to Stanley Deser, Misha Fogler, Gerry Guralnik, Roman Jackiw, Anton Kapustin, David Lowe, Samir Mathur, Emil Mottola, Martin Schaden, Vipul Periwal, Marc Spiegelman, Paul Townsend and Daniel Zwanziger for valuable discussions. DK wishes to thank NYU for hospitality while this work was in progress. The work of DK is supported by the DOE under contract DE-FG02-90ER40542 and by the generosity of Martin and Helen Chooljian. GL wishes to thank the Aspen Center for Physics for hospitality while this work was in progress. The work of GL is supported by the NSF under grant PHY-98-02484.

Keywords

Black holes in string theory
D-branes
Strongly-coupled gauge theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0550-3213(99)00818-4

Cite this

@article{a56d20a3b80c472393861b6e9bbcbae9,

title = "Approximations for strongly-coupled supersymmetric quantum mechanics",

abstract = "We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0q 1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be applied to large-N theories, by keeping just the planar contribution to the gap equations. We analyze several models of scalar supersymmetric quantum mechanics, and show that the Gaussian approximation correctly distinguishes between a moduli space, mass gap, and supersymmetry breaking at strong coupling. Then we apply the approximation to a bosonic large-TV gauge theory, and argue that a Gross-Witten transition separates the weak-coupling and strong-coupling regimes. A similar transition should occur in a generic large-N gauge theory, in particular in 0-brane quantum mechanics, q 2000 Elsevier Science B.V. All rights reserved.",

keywords = "Black holes in string theory, D-branes, Strongly-coupled gauge theory",

author = "Daniel Kabat and Gilad Lifschytz",

note = "Funding Information: We are grateful to Stanley Deser, Misha Fogler, Gerry Guralnik, Roman Jackiw, Anton Kapustin, David Lowe, Samir Mathur, Emil Mottola, Martin Schaden, Vipul Periwal, Marc Spiegelman, Paul Townsend and Daniel Zwanziger for valuable discussions. DK wishes to thank NYU for hospitality while this work was in progress. The work of DK is supported by the DOE under contract DE-FG02-90ER40542 and by the generosity of Martin and Helen Chooljian. GL wishes to thank the Aspen Center for Physics for hospitality while this work was in progress. The work of GL is supported by the NSF under grant PHY-98-02484. ",

year = "2000",

month = apr,

day = "3",

doi = "10.1016/S0550-3213(99)00818-4",

language = "English",

volume = "571",

pages = "419--456",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Approximations for strongly-coupled supersymmetric quantum mechanics

AU - Kabat, Daniel

AU - Lifschytz, Gilad

N1 - Funding Information: We are grateful to Stanley Deser, Misha Fogler, Gerry Guralnik, Roman Jackiw, Anton Kapustin, David Lowe, Samir Mathur, Emil Mottola, Martin Schaden, Vipul Periwal, Marc Spiegelman, Paul Townsend and Daniel Zwanziger for valuable discussions. DK wishes to thank NYU for hospitality while this work was in progress. The work of DK is supported by the DOE under contract DE-FG02-90ER40542 and by the generosity of Martin and Helen Chooljian. GL wishes to thank the Aspen Center for Physics for hospitality while this work was in progress. The work of GL is supported by the NSF under grant PHY-98-02484.

PY - 2000/4/3

Y1 - 2000/4/3

N2 - We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0q 1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be applied to large-N theories, by keeping just the planar contribution to the gap equations. We analyze several models of scalar supersymmetric quantum mechanics, and show that the Gaussian approximation correctly distinguishes between a moduli space, mass gap, and supersymmetry breaking at strong coupling. Then we apply the approximation to a bosonic large-TV gauge theory, and argue that a Gross-Witten transition separates the weak-coupling and strong-coupling regimes. A similar transition should occur in a generic large-N gauge theory, in particular in 0-brane quantum mechanics, q 2000 Elsevier Science B.V. All rights reserved.

AB - We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0q 1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be applied to large-N theories, by keeping just the planar contribution to the gap equations. We analyze several models of scalar supersymmetric quantum mechanics, and show that the Gaussian approximation correctly distinguishes between a moduli space, mass gap, and supersymmetry breaking at strong coupling. Then we apply the approximation to a bosonic large-TV gauge theory, and argue that a Gross-Witten transition separates the weak-coupling and strong-coupling regimes. A similar transition should occur in a generic large-N gauge theory, in particular in 0-brane quantum mechanics, q 2000 Elsevier Science B.V. All rights reserved.

KW - Black holes in string theory

KW - D-branes

KW - Strongly-coupled gauge theory

UR - http://www.scopus.com/inward/record.url?scp=0034599204&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(99)00818-4

DO - 10.1016/S0550-3213(99)00818-4

M3 - Article

AN - SCOPUS:0034599204

SN - 0550-3213

VL - 571

SP - 419

EP - 456

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Approximations for strongly-coupled supersymmetric quantum mechanics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this