On the renormalization of the sine-Gordon model
Bozkaya, H. ; Faber, M. ; Ivanov, A. N. ; Pitschmann, M.
arXiv, 0505276 / Harvested from arXiv
Text on arXiv
We analyse the renormalizability of the sine-Gordon model by the example of the two-point Green function up to second order in alpha_r(M), the dimensional coupling constant defined at the normalization scale M, and to all orders in beta^2, the dimensionless coupling constant. We show that all divergences can be removed by the renormalization of the dimensional coupling constant using the renormalization constant Z_1, calculated in (J.Phys.A36,7839(2003)) within the path-integral approach. We show that after renormalization of the two-point Green function to first order in alpha_r(M) and to all orders in beta^2 all higher order corrections in alpha_r(M) and arbitrary orders in beta^2 can be expressed in terms of alpha_ph, the physical dimensional coupling constant independent on the normalization scale M. We solve the Callan-Symanzik equation for the two-point Green function. We analyse the renormalizability of Gaussian fluctuations around a soliton solution.We show that Gaussian fluctuations around a soliton solution are renormalized like quantum fluctuations around the trivial vacuum to first orders in alpha_r(M) and beta^2 and do not introduce any singularity to the sine-Gordon model at beta^2 = 8pi.
Publié le : 2005-05-31
Classification:  High Energy Physics - Theory,  High Energy Physics - Lattice,  High Energy Physics - Phenomenology,  Mathematical Physics 
@article{0505276,
     author = {Bozkaya, H. and Faber, M. and Ivanov, A. N. and Pitschmann, M.},
     title = {On the renormalization of the sine-Gordon model},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505276}
}

Bozkaya, H.; Faber, M.; Ivanov, A. N.; Pitschmann, M. On the renormalization of the sine-Gordon model. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505276/