Effective Action and Phase Structure of Multi-Layer Sine-Gordon Type Models
We analyze the effective action and the phase structure of N-layer sine-Gordon type models, generalizing the results obtained for the two-layer sine-Gordon model found in [I. Ná ndori, S. Nagy, K. Sailer, U.D. Jentschura, Nucl. Phys. B, 725 (2005) 467-492]. Besides the obvious field theoretical interest, the layered sine-Gordon model has been used to describe the vortex properties of high transition temperature superconductors, and the extension of the previous analysis to a general N-layer model is necessary for a description of the critical behaviour of vortices in realistic multi-layer systems. The distinction of the Lagrangians in terms of mass eigenvalues is found to be the decisive parameter with respect to the phase structure of the N-layer models, with neighboring layers being coupled by quadratic terms in the field variables. By a suitable rotation of the field variables, we identify the periodic modes (without explicit mass terms) in the N-layer structure, calculate the effective action and determine their Kosterlitz-Thouless type phase transitions to occur at a coupling parameter βc, N2 = 8 N π, where N is the number of layers (or flavors in terms of the multi-flavor Schwinger model).
U. D. Jentschura et al., "Effective Action and Phase Structure of Multi-Layer Sine-Gordon Type Models," Annals of Physics, vol. 321, no. 11, pp. 2647-2659, Elsevier, Nov 2006.
The definitive version is available at https://doi.org/10.1016/j.aop.2006.01.005
Keywords and Phrases
Field Theories In Dimensions Other Than Four; Renormalization; Renormalization Group Evolution Of Parameters
International Standard Serial Number (ISSN)
Article - Journal
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