@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 ~ (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.",

year = "1987",

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

language = "English (US)",

volume = "288",

pages = "525--550",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "C",

}