TY - JOUR
T1 - Confinement from semiclassical gluon fields in SU(2) gauge theory
AU - Langfeld, K.
AU - Ilgenfritz, E.-M.
PY - 2011
Y1 - 2011
N2 - The infrared structure of Yang–Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In contrast to unconstrained cooling, quark confinement remains intact. A study of the Hessian of the Yang–Mills action shows that low action (semi-)classical configurations can be achieved, with a characteristic splitting between collective modes and higher momentum modes. Besides confinement, the semiclassical configurations also support the topological susceptibility and generate spontaneous breakdown of chiral symmetry. We show that they possess a cluster structure of locally mainly (anti-)selfdual objects. By contrast to an instanton or a meron medium, the topological charge of individual clusters is smoothly distributed.
AB - The infrared structure of Yang–Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In contrast to unconstrained cooling, quark confinement remains intact. A study of the Hessian of the Yang–Mills action shows that low action (semi-)classical configurations can be achieved, with a characteristic splitting between collective modes and higher momentum modes. Besides confinement, the semiclassical configurations also support the topological susceptibility and generate spontaneous breakdown of chiral symmetry. We show that they possess a cluster structure of locally mainly (anti-)selfdual objects. By contrast to an instanton or a meron medium, the topological charge of individual clusters is smoothly distributed.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-79953031999&partnerID=MN8TOARS
UR - https://go.openathens.net/redirector/westernsydney.edu.au?url=https://doi.org/10.1016/j.nuclphysb.2011.02.009
U2 - 10.1016/j.nuclphysb.2011.02.009
DO - 10.1016/j.nuclphysb.2011.02.009
M3 - Article
SN - 0550-3213
VL - 848
SP - 33
EP - 61
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1
ER -