Once more on the θ - vacua in 2 + 1 dimensional QED and 3 + 1 dimensional gluodynamics
نویسنده
چکیده
Once more on the θ-vacua in 2 + 1 dimensional QED and 3 + 1 dimensional gluodynamics. Abstract Two different but tightly connected problems, U (1) and strong CP violation problems, are discussed in two different models which exhibit both asymptotic freedom and confinement. One of them is the 3d Polyakov's model of compact QED and the other is 4d gluodynamics. It is shown that although both these models possess the long range interactions of the topological charges, only in the former case physics does not depend on θ; while the latter exhibits an explicit θ-dependence. The crucial difference is due to the observation, that the pseudoparticles of 4d gluodynamics possess an aditional quantum number, apart of the topological charge Q .
منابع مشابه
Quark Confinement, Topological Susceptibility and All That in 4 Dimensional Gluodynamics
We discuss a few tightly connected problems, such as the U (1) problem, confinement , the θ-dependence within a framework of the dynamical toron approach. We calculate two fundamental characteristics of the theory: the vacuum expectation value (vev) of the Wilson loop and the topological susceptibility. The analogy with well known 2+1 dimensional QED which exhibits confinement phenomenon is als...
متن کاملSuperfield Approach To Nilpotent Symmetries For QED From A Single Restriction On Supermanifold
We derive together the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (Aμ), the (anti-)ghost fields ((C̄)C) and the Dirac fields (ψ, ψ̄) of the Lagrangian density of a four (3+1)-dimensional QED by exploiting a single restriction on the six (4, 2)dimensional supermanifold. A set of four ev...
متن کاملSuperfield Approach To Nilpotent Symmetries For QED With A Single Restriction On Supermanifold
We derive together the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (Aμ), the (anti-)ghost fields ((C̄)C) and the Dirac fields (ψ, ψ̄) of the Lagrangian density of a four (3+1)-dimensional QED by exploiting a single restriction on the six (4+2)dimensional supermanifold. A set of four eve...
متن کاملConfining strings in the Abelian-projected SU(3)-gluodynamics II. 4D-case with θ-term
– The generalization of 4D confining string theory to the SU(3)-inspired case is derived. It describes string representation of the Wilson loop in the SU(3)-analogue of compact QED extended by the θ-term. It is shown that although the obtained theory of confining strings differs from that of compact QED, their low-energy limits have the same functional form. This fact leads to the appearance of...
متن کاملDomain Walls and Decay Rate of the Excited Vacua in the Large N Yang-Mills Theory
In the (non-supersymmetric) Yang-Mills theory in the large N limit there exists an infinite set of non-degenerate “vacua”. The distinct vacua are separated by domain walls whose tension determines the decay rate of the false vacua. I discuss the phenomenon from a field-theoretic point of view, starting from supersymmetric gluodynamics and then breaking supersymmetry by introducing a gluino mass...
متن کامل