TY - JOUR
T1 - Constraining monopoles by topology
T2 - An autonomous system
AU - Canfora, Fabrizio
AU - Tallarita, Gianni
N1 - Publisher Copyright:
© 2014 The Author(s).
PY - 2014/9
Y1 - 2014/9
N2 - We find both analytical and numerical solutions of SU(2) Yang-Mills with an adjoint Higgs field within both closed and open tubes whose sections are spherical caps. This geometry admits a smooth limit in which the space-like metric is flat and, moreover, allows one to use analytical tools which in the flat case are not available. Some of the analytic configurations, in the limit of vanishing Higgs coupling, correspond to magnetic monopoles and dyons living within this tube-shaped domain. However, unlike what happens in the standard case, analytical solutions can also be found in the case in which the Higgs coupling is non-vanishing. We further show that the system admits long-lived breathers.
AB - We find both analytical and numerical solutions of SU(2) Yang-Mills with an adjoint Higgs field within both closed and open tubes whose sections are spherical caps. This geometry admits a smooth limit in which the space-like metric is flat and, moreover, allows one to use analytical tools which in the flat case are not available. Some of the analytic configurations, in the limit of vanishing Higgs coupling, correspond to magnetic monopoles and dyons living within this tube-shaped domain. However, unlike what happens in the standard case, analytical solutions can also be found in the case in which the Higgs coupling is non-vanishing. We further show that the system admits long-lived breathers.
KW - Gauge Symmetry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=84907464695&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2014)136
DO - 10.1007/JHEP09(2014)136
M3 - Article
AN - SCOPUS:84907464695
SN - 1126-6708
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 136
ER -