Daniel M Danchev and Nicholay S Tonchev 1999 J. Phys. A: Math. Gen. 32 7057 doi:10.1088/0305-4470/32/41/302
On the finite-temperature generalization of the C-theorem and the interplay between classical and quantum fluctuations
Daniel M Danchev
and Nicholay S Tonchev
The behaviour of the finite-temperature C-function, defined by Neto and Fradkin (1993 Nucl. Phys. B 400 525), is analysed within a d -dimensional exactly solvable lattice model, recently considered by Vojta (1996 Phys. Rev. B 53 710), which is of the same universality class as the quantum nonlinear O(n) sigma model in the limit n
. The scaling functions of C for the cases d = 1 (absence of long-range order), d = 2 (existence of a quantum critical point), d = 4 (existence of a line of finite-temperature critical points that ends up with a quantum critical point) are derived and analysed. The locations of regions where C is monotonically increasing (which depend significantly on d) are exactly determined. The results are interpreted within the finite-size scaling theory that has to be modified for d = 4.
- PACS
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03.65.Pm Relativistic wave equations
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- MSC
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81T40 Two-dimensional field theories, conformal field theories, etc.
- Subjects
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Particle physics and field theory
- Dates
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Issue 41 (15 October 1999)
Received 16 March 1999
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On the finite-temperature generalization of the C-theorem and the interplay between classical and quantum fluctuations
Daniel M Danchev and Nicholay S Tonchev 1999 J. Phys. A: Math. Gen. 32 7057
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