Quantum sine(h)-Gordon model and classical integrable equations
Abstract
We study a family of classical solutions of modified sinh-Gordon equation, {partial_z}{partial_{bar{z}}}η - {{text{e}}^{2η }} + p(z)pleft( {bar{z}} right) {{text{e}}^{ - 2η }} = 0 with p( z) = z 2 α - s 2 α . We show that certain connection coefficients for solutions of the associated linear problem coincide with the Q-function of the quantum sine-Gordon ( α > 0) or sinh-Gordon ( α < -1) models.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- July 2010
- DOI:
- 10.1007/JHEP07(2010)008
- arXiv:
- arXiv:1003.5333
- Bibcode:
- 2010JHEP...07..008L
- Keywords:
-
- Field Theories in Lower Dimensions;
- Integrable Equations in Physics;
- Bethe Ansatz;
- Integrable Field Theories;
- Mathematical Physics;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory
- E-Print:
- 35 pages, 3 figures