Degeneracy induced scaling of the correlation length for periodic models

Apr, 2012
22 pages
Published in:
  • Nucl.Phys.B 864 (2012) 226-240
  • Published: Nov 1, 2012
e-Print:

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Abstract: (Elsevier)
The broken symmetric phase of scalar models exhibits an infrared fixed point which is induced by the degenerate effective potential. The definition of the correlation length in the infrared regime enables us to determine the type of the phase transition in the model. It is shown that the massive sine-Gordon model exhibits a continuous, while the layered sine-Gordon model has an infinite order Kosterlitz–Thouless type phase transition.
Note:
  • 22 pages, 9 figures, final version, to appear in Nucl. Phys. B
  • correlation: length
  • sine-Gordon model: massive
  • fixed point: infrared
  • critical phenomena
  • effective potential
  • scaling
  • renormalization group: flow