String loop corrections to beta functions

Curtis Gove Callan; C. Lovelace; C. R. Nappi; S. A. Yost

doi:10.1016/0550-3213(87)90227-6

String loop corrections to beta functions

Curtis Gove Callan
, C. Lovelace
, C. R. Nappi
, S. A. Yost

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

297 Scopus citations

Abstract

We study the problem of finding the beta functions, and the associated spacetime effective action, for interacting open and closed strings propagating in background fields. String loop divergences play a crucial role in this problem. Cancelling them against sigma model divergences gives a consistent set of loop-corrected beta functions, which can be derived from a simple generalization of the string-tree-level effective action. This suggests the existence of new string theories which are conformally invariant only after all world sheets have been summed.

Original language	English (US)
Pages (from-to)	525-550
Number of pages	26
Journal	Nuclear Physics, Section B
Volume	288
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90227-6
State	Published - 1987

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(87)90227-6

Cite this

@article{c5c49c90f42d44f9a76e835831056d25,

title = "String loop corrections to beta functions",

abstract = "We study the problem of finding the beta functions, and the associated spacetime effective action, for interacting open and closed strings propagating in background fields. String loop divergences play a crucial role in this problem. Cancelling them against sigma model divergences gives a consistent set of loop-corrected beta functions, which can be derived from a simple generalization of the string-tree-level effective action. This suggests the existence of new string theories which are conformally invariant only after all world sheets have been summed.",

author = "Callan, \{Curtis Gove\} and C. Lovelace and Nappi, \{C. R.\} and Yost, \{S. A.\}",

note = "Funding Information: It is natural to ask whether this method can be generalized to deal with the effects of string loop (i.e. quantum) corrections. There is a well-defined string-loop expansion parameter, e \textasciitilde{} (where \textasciitilde{} is the background dilaton field) and it is plausible both that the background field equations of motion should have a power series expansion in e -\textasciitilde{} and that they be derivable from a spacetime effective action, itself having a power series expansion in e \textasciitilde{}. What is not clear is whether such loop-corrected equations of motion could be interpreted as the conformal invariance conditions of some appropriately generalized two-dimensional field theory. A posi- 1 Supported in part by DOE grant DE-AC02-76ER-03072. 2 On leave from Rutgers University. Supported in part by NSF grant PHY84-15534. 3 Supported in part by NSF grant PHY-80-19754. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1987",

doi = "10.1016/0550-3213(87)90227-6",

language = "English (US)",

volume = "288",

pages = "525--550",

journal = "Nuclear Physics, Section B",

issn = "0550-3213",

publisher = "Elsevier B.V.",

number = "C",

}

TY - JOUR

T1 - String loop corrections to beta functions

AU - Callan, Curtis Gove

AU - Lovelace, C.

AU - Nappi, C. R.

AU - Yost, S. A.

N1 - Funding Information: It is natural to ask whether this method can be generalized to deal with the effects of string loop (i.e. quantum) corrections. There is a well-defined string-loop expansion parameter, e ~ (where ~ is the background dilaton field) and it is plausible both that the background field equations of motion should have a power series expansion in e -~ and that they be derivable from a spacetime effective action, itself having a power series expansion in e ~. What is not clear is whether such loop-corrected equations of motion could be interpreted as the conformal invariance conditions of some appropriately generalized two-dimensional field theory. A posi- 1 Supported in part by DOE grant DE-AC02-76ER-03072. 2 On leave from Rutgers University. Supported in part by NSF grant PHY84-15534. 3 Supported in part by NSF grant PHY-80-19754. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1987

Y1 - 1987

N2 - We study the problem of finding the beta functions, and the associated spacetime effective action, for interacting open and closed strings propagating in background fields. String loop divergences play a crucial role in this problem. Cancelling them against sigma model divergences gives a consistent set of loop-corrected beta functions, which can be derived from a simple generalization of the string-tree-level effective action. This suggests the existence of new string theories which are conformally invariant only after all world sheets have been summed.

AB - We study the problem of finding the beta functions, and the associated spacetime effective action, for interacting open and closed strings propagating in background fields. String loop divergences play a crucial role in this problem. Cancelling them against sigma model divergences gives a consistent set of loop-corrected beta functions, which can be derived from a simple generalization of the string-tree-level effective action. This suggests the existence of new string theories which are conformally invariant only after all world sheets have been summed.

UR - https://www.scopus.com/pages/publications/0000464617

UR - https://www.scopus.com/pages/publications/0000464617#tab=citedBy

U2 - 10.1016/0550-3213(87)90227-6

DO - 10.1016/0550-3213(87)90227-6

M3 - Article

AN - SCOPUS:0000464617

SN - 0550-3213

VL - 288

SP - 525

EP - 550

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

String loop corrections to beta functions

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