English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Metric for gradient renormalization group flow of the worldsheet sigma model beyond first order

Oliynyk, T. A., Suneeta, V., & Woolgar, E. (2007). Metric for gradient renormalization group flow of the worldsheet sigma model beyond first order. Physical Review D, 76(4): 045001. doi:10.1103/PhysRevD.76.045001.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-47FF-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4800-9
Genre: Journal Article

Files

show Files
hide Files
:
prd76_045001.pdf (Publisher version), 124KB
Name:
prd76_045001.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
eDoc_access: PUBLIC
License:
-

Locators

show

Creators

show
hide
 Creators:
Oliynyk, Todd A.1, Author
Suneeta, V., Author
Woolgar, E., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: -
 Abstract: Tseytlin has recently proposed that an action functional exists whose gradient generates to all orders in perturbation theory the renormalization group (RG) flow of the target space metric in the worldsheet sigma model. The gradient is defined with respect to a metric on the space of coupling constants which is explicitly known only to leading order in perturbation theory, but at that order is positive semidefinite, as follows from Perelman's work on the Ricci flow. This gives rise to a monotonicity formula for the flow which is expected to fail only if the beta function perturbation series fails to converge, which can happen if curvatures or their derivatives grow large. We test the validity of the monotonicity formula at next-to-leading order in perturbation theory by explicitly computing the second-order terms in the metric on the space of coupling constants. At this order, this metric is found not to be positive semidefinite. In situations where this might spoil monotonicity, derivatives of curvature become large enough for higher-order perturbative corrections to be significant.

Details

show
hide
Language(s):
 Dates: 2007-08
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 335039
ISI: 000249155800082
DOI: 10.1103/PhysRevD.76.045001
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review D
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 76 (4) Sequence Number: 045001 Start / End Page: - Identifier: -