H. Bozkaya, M. Faber, A. Ivanov, M. Pitschmann:

"On the renormalization of the two-point Green function in the sine-Gordon model";

Journal of Physics A: Mathematical and General,39(2006), 2177 - 2201.

We analyse the renormalizability of the sine-Gordon model using the two-point

causal Green function. We show that all divergences can be removed by the

renormalization of the dimensional coupling constant using the renormalization

constant Z1, calculated in Faber and Ivanov (2003 J. Phys. A: Math. Gen. 36

7839) within the path-integral approach. We calculate the Gell-Mann-Low

function and solve the Callan-Symanzik equation for the two-point Green

function. We analyse the renormalizability of Gaussian fluctuations around

a soliton. We show that Gaussian fluctuations around a soliton solution are

renormalized like quantum fluctuations around the trivial vacuum and do not

introduce any singularity to the sine-Gordon model at β2 = 8π. We calculate

the correction to the soliton mass, caused by Gaussian fluctuations around a

soliton, within the discretization procedure for various boundary conditions and

find complete agreement with our result, obtained in continuous space-time.

http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC06588183

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