TY - JOUR
T1 - Renormalisation group flows and conserved vector currents
AU - Vilasís-Cardona, Xavier
N1 - Funding Information:
This work has been partially supported by the Ministerio de Educaci6n y Ciencia through an FPI grant, by CICYT under contract AEN 90-0033 and by NATO under contract CRG-910890. I would like to acknowledge the warm hospitality of the Lawrence Berkeley Laboratory where part of this work was developed. I thank very specially Jos6 I. Latorre for introducing me to the subject and sharing his insight. I am indebted to O. Alvarez, P.E. Haagensen and J. Soto for discussions, and to A. Cappelli for his comments on the manuscript.
PY - 1995/2/13
Y1 - 1995/2/13
N2 - Irreversibility of RG flows in two dimensions is shown using conserved vector currents. Out of a conserved vector current, a quantity decreasing along the RG flow is built up such that it is stationary at fixed points where it coincides with the constant coefficient of the two-current correlation function. For Wess-Zumino-Novikov-Witten models this constant coefficient is the level of their associated affine Lie algebra. Extensions to higher dimensions using the spectral decomposition of the two-current correlation function are studied.
AB - Irreversibility of RG flows in two dimensions is shown using conserved vector currents. Out of a conserved vector current, a quantity decreasing along the RG flow is built up such that it is stationary at fixed points where it coincides with the constant coefficient of the two-current correlation function. For Wess-Zumino-Novikov-Witten models this constant coefficient is the level of their associated affine Lie algebra. Extensions to higher dimensions using the spectral decomposition of the two-current correlation function are studied.
UR - http://www.scopus.com/inward/record.url?scp=0043290709&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(94)00451-J
DO - 10.1016/0550-3213(94)00451-J
M3 - Article
AN - SCOPUS:0043290709
SN - 0550-3213
VL - 435
SP - 735
EP - 752
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -