Related papers: A possible resolution of the U(1) and strong CP pr…
In the standard model QCD Lagrangian, a term of CP violating gluon density is theoretically expected to have a physical coefficient $\bar{\theta}$ of the order of unity. However, the upper bound on the electric dipole moment of neutron…
This paper has been withdrawn by the author because the main result is gauge-dependent.
This paper has been withdrawn by the authors due to a serious technical error in treating the quark form factors F in the gluon operators.
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…
This paper is withdrawn since there is a problem in the previous paper on which it is based.
I discuss how the solution of the $U(1)_A$ problem of QCD through the existence of the $\theta$-vacuum gave rise to the strong CP problem. After examining various suggested solutions to this problem, I conclude that the only viable solution…
Motivated by recent claims questioning the existence of strong CP violation, we present a pedagogical review of CP violation in Quantum Chromodynamics (QCD). Using fundamental properties of the QCD partition function, we analyze the…
Three possible strategies have been advocated to solve the strong CP problem. The first is the axion, a dynamical mechanism that relaxes any initial value of the CP violating angle $\bar{\theta}$ to zero. The second is the imposition of new…
This paper has been withdrawn by the author due to a crucial error in the formulation.
This paper has been withdrawn due to an incorrect analysis in Section 4.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn by the authors. A substantially altered paper will be submitted incorporating major corrections, additions and improvements.
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.
Paper withdrawn in favor of hep-ph/9909498
This paper has been withdrawn by the author due to new results to be added.
Schwinger operator method is applied for studying CP-odd pure gluonic effective Lagrangian in the Standard Model at three-loop level. The induced $\theta$-term vanishes by the same reasons as EDMs of quark and W-boson to two-loop…
We exhibit a novel solution of the strong CP problem, which does not involve any massless particles. The low energy effective Lagrangian of our model involves a discrete spacetime independent axion field which can be thought of as a…
In this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function, of the Euler-Lagrange equation, of the Hamilton principle, a…
This paper has been withdrawn by the authors due to a mistake in the proof of the chief result. In particular Theorem 1.3 is correct, while Theorem 1.1 and Theorem 1.2 hold with \mu>0 and a suitable restriction on the exponent p. The proof…