Dimensional Crossover and Effective Exponents
| dc.creator | Liao, Sen-Ben | |
| dc.creator | Strickland, Michael | |
| dc.date | 1996-04-22 | |
| dc.date | 1997-04-07 | |
| dc.date.accessioned | 2026-07-07T10:34:17Z | |
| dc.date.available | 2026-07-07T10:34:17Z | |
| dc.description | We investigate the critical behavior of the lambda phi^4 theory defined on S^1 x R^d having two finite length scales beta, the circumference of S^1, and k^{-1}, the blocking scale introduced by the renormalization group transformation. By numerically solving the coupled differential RG equations for the finite-temperature blocked potential U_{beta,k}(Phi) and the wavefunction renormalization constant Z_{beta,k}(Phi), we demonstrate how the finite-size scaling variable betabar = beta k determines whether the phase transition is (d+1)- or d-dimensional in the limits betabar >> 1 and betabar << 1, respectively. For the intermediate values of betabar, finite-size effects play an important role. We also discuss the failure of the polynomial expansion of the effective potential near criticality. | |
| dc.description | 24 pages, TeX, 8 figures in separate file, Updated version to appear in Nucl. Phys. B | |
| dc.identifier | https://arxiv.org/abs/hep-th/9604125 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9604125 | |
| dc.identifier | Nucl.Phys.B497:611-638,1997 | |
| dc.identifier | doi:10.1016/S0550-3213(97)00212-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179423 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Condensed Matter | |
| dc.title | Dimensional Crossover and Effective Exponents | |
| dc.type | text |