Non Self-dual and Self-dual Su (2) Calorons
نویسنده
چکیده
New static regular axially symmetric solutions of SU (2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers m, n. It is shown that besides known, charge one self-dual periodic instanton solution, there are other non-self dual solutions of the Yang-Mills equations naturally composed out of pseu-doparticle constituents.
منابع مشابه
Self-dual and non-self dual axially symmetric caloron solutions in SU(2) Yang-Mills theory
New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having non-trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers m,n. It is shown that besides known, charge one self-dual periodic instanton solution, there are other non-self dual solutions of the Yang-Mills equations naturally...
متن کاملExistence of hyperbolic calorons.
Recent work of Harland shows that the SO(3)-symmetric, dimensionally reduced, charge-N self-dual Yang-Mills calorons on the hyperbolic space [Formula: see text] may be obtained through constructing N-vortex solutions of an Abelian Higgs model as in the study of Witten on multiple instantons. In this paper, we establish the existence of such minimal action charge-N calorons by constructing arbit...
متن کاملRestoring Reality for the Self - Dual N = 2 String ∗
It is known that the critical N=(2, 2) string describes 2+2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1, 1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell instantons individually break the Lorentz group further to SU(1, 1). However, th...
متن کاملar X iv : h ep - t h / 99 02 06 3 v 1 9 F eb 1 99 9 SU ( 2 ) Charges as Angular - momentum in N = 1 Self - dual Supergravity ∗
The N = 1 self-dual supergravity has SL(2,C) symmetry . This symmetry results in SU(2) charges as the angular-momentum. As in the nonsupersymmetric self-dual gravity, the currents are also of their potentials and are therefore identically conserved. The charges are generally invariant and gauge covariant under local SU(2) transforms approaching to be rigid at spatial infinity. The Poisson brack...
متن کاملSelf-cogenerator modules and their applications
Let $R$ be a ring and $M$ be a right $R$-module. In this paper, we give some properties of self-cogeneratormodules. If $M$ is self-cogenerator and $S = End_{R}(M)$ is a cononsingular ring, then $M$ is a$mathcal{K}$-module. It is shown that every self-cogenerator Baer is dual Baer.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007