Coverart for item
The Resource The c and a-Theorems and the Local Renormalisation Group, by Graham Shore, (electronic resource)

The c and a-Theorems and the Local Renormalisation Group, by Graham Shore, (electronic resource)

Label
The c and a-Theorems and the Local Renormalisation Group
Title
The c and a-Theorems and the Local Renormalisation Group
Statement of responsibility
by Graham Shore
Creator
Contributor
Author
Subject
Language
eng
Summary
The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG). The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key rôle of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail. A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented. Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT
Member of
Is part of
Image bit depth
0
Literary form
non fiction
Series statement
SpringerBriefs in Physics,
The c and a-Theorems and the Local Renormalisation Group, by Graham Shore, (electronic resource)
Label
The c and a-Theorems and the Local Renormalisation Group, by Graham Shore, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-54000-9
Publication
Related Contributor
Related Location
Related Agents
Related Authorities
Related Subjects
Related Items
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Renormalisation and the Conformal Anomaly -- The Local Renormalisation Group and Weyl Consistency Conditions -- c-Theorem in Two Dimensions -- Local RGE and Weyl Consistency Conditions in Four Dimensions -- c, b and a-Theorems in Four Dimensions -- Global Symmetries and Limit Cycles -- Summary and Outlook
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319540009&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4257869'}
Extent
VII, 102 p. 5 illus., 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319540009
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
Processing Feedback ...