Abstract
We investigate the dependence of the CP{sup 3} model and of the SU(2) Yang-Mills theory on the vacuum angle {theta}. The CP{sup 3} model exhibits a first-order deconfining phase transition in {theta}. The critical value of {theta} runs from {pi} in the strong coupling limit towards zero as {beta} is taken to infinity. Qualitatively the same behavior is found in the SU(2) Yang-Mills theory in four dimensions. We discuss the renormalization group trajectories. Only the line with {theta}=0 allows the cut-off to go to infinity, while the lines with {theta}>0 end on the line of first order phase transitions. Thus {theta} is forced to zero in the continuum limit. ((orig.)).
Schierholz, G
[1]
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Citation Formats
Schierholz, G.
{theta} vacua, confinement and the continuum limit.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00223-V.
Schierholz, G.
{theta} vacua, confinement and the continuum limit.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00223-V
Schierholz, G.
1995.
"{theta} vacua, confinement and the continuum limit."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00223-V.
@misc{etde_101171,
title = {{theta} vacua, confinement and the continuum limit}
author = {Schierholz, G}
abstractNote = {We investigate the dependence of the CP{sup 3} model and of the SU(2) Yang-Mills theory on the vacuum angle {theta}. The CP{sup 3} model exhibits a first-order deconfining phase transition in {theta}. The critical value of {theta} runs from {pi} in the strong coupling limit towards zero as {beta} is taken to infinity. Qualitatively the same behavior is found in the SU(2) Yang-Mills theory in four dimensions. We discuss the renormalization group trajectories. Only the line with {theta}=0 allows the cut-off to go to infinity, while the lines with {theta}>0 end on the line of first order phase transitions. Thus {theta} is forced to zero in the continuum limit. ((orig.)).}
doi = {10.1016/0920-5632(95)00223-V}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {{theta} vacua, confinement and the continuum limit}
author = {Schierholz, G}
abstractNote = {We investigate the dependence of the CP{sup 3} model and of the SU(2) Yang-Mills theory on the vacuum angle {theta}. The CP{sup 3} model exhibits a first-order deconfining phase transition in {theta}. The critical value of {theta} runs from {pi} in the strong coupling limit towards zero as {beta} is taken to infinity. Qualitatively the same behavior is found in the SU(2) Yang-Mills theory in four dimensions. We discuss the renormalization group trajectories. Only the line with {theta}=0 allows the cut-off to go to infinity, while the lines with {theta}>0 end on the line of first order phase transitions. Thus {theta} is forced to zero in the continuum limit. ((orig.)).}
doi = {10.1016/0920-5632(95)00223-V}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}