CastroAlvaredo, O., Doyon, B. & Levi, E. (2011). Arguments towards a ctheorem from branchpoint twist fields. Journal of Physics A: Mathematical and General, 44(49), doi: 10.1088/17518113/44/49/492003

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Abstract
A fundamental quantity in (1+1)dimensional quantum field theories is Zamolodchikov's cfunction. A function of a renormalization group distance parameter r, which interpolates between ultraviolet and infrared fixed points, its value is usually interpreted as a measure of the number of degrees of freedom of a model at a particular energy scale. The ctheorem establishes that c(r) is a monotonically decreasing function of r and that its derivative may only vanish at quantum critical points (r = 0 and r = ∞). At those points, c(r) becomes the central charge of the conformal field theory which describes the critical point. In this communication, we argue that a different function proposed by Calabrese and Cardy, defined in terms of the twopoint function , which involves the branchpoint twist field and the trace of the stress–energy tensor Θ, has exactly the same qualitative features as c(r).
Item Type:  Article 

Subjects:  Q Science > QC Physics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
URI:  http://openaccess.city.ac.uk/id/eprint/793 
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