Riemann-double construction for spinning string propagators

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Abstract

We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a "double trick", in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.

Original languageEnglish (US)
Pages (from-to)265-272
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume224
Issue number3
DOIs
StatePublished - Jun 29 1989

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metal spinning
Green's functions
strings
propagation
Dirichlet problem
elliptic functions
sectors

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "Riemann-double construction for spinning string propagators",
abstract = "We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a {"}double trick{"}, in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.",
author = "Jun Liu and Alexandru Mezincescu and Rafael Nepomechie",
year = "1989",
month = "6",
day = "29",
doi = "10.1016/0370-2693(89)91227-6",
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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
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number = "3",

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AU - Liu, Jun

AU - Mezincescu, Alexandru

AU - Nepomechie, Rafael

PY - 1989/6/29

Y1 - 1989/6/29

N2 - We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a "double trick", in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.

AB - We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a "double trick", in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.

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U2 - 10.1016/0370-2693(89)91227-6

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VL - 224

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EP - 272

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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