121443233
MONOPOLE CONDENSATION AND MASS GAP IN SU(3) QCD
We demonstrate the monopole condensation in SU(3) QCD. We first discuss the gauge independent and Weyl symmetric Abelian (Cho-Duan-Ge) decomposition of the SU(3) QCD, and present a new gauge invariant integral expression of the one-loop effective action which has no infrared divergence. Integrating it gauge invariantly imposing the color reflection invariance ("the C-projection") we show that the effective potential generates the stable monopole condensation which generates the mass gap.
119190991
Confinement From The Gauge Invariant Abelian Decomposition
A common approach while considering confinement is to study the dominance of an Abelian subgroup of the SU(3) gauge Links. A good way to find the Abelian component of the field is through the Cho-Guan-De gauge invariant Abelian Decomposition, which uses a carefully chosen direction vector $n$ to split the gauge field into an Abelian restricted field and a remnant coloured field. The restricted field can be further subdivided into topological and non-topological terms. We show that there is a choice of $n$ which allows us to exactly represent the Wilson Loop of full QCD as a function of only the restricted Abelian field without requiring any path ordering or additional path integrals. We present numerical evidence showing that the topological part of the restricted field dominates the string tension. We also show that $n$ contains certain topological objects, which, if they exist, will be at least partially responsible for confinement. These leave distinctive patterns in the restricted field strength, and we search for these structures in quenched lattice QCD.
121563333
C-projection and monopole condensation in QCD
We show that the monopole condensation is responsible for the confinement. To demonstrate this we present a new gauge invariant integral expression of the one-loop QCD effective action which has no infra-red divergence, and show that the color reflection invariance ("the C-projection") assures the gauge invariance and the stability of the monopole condensation.
120107337
Dilatonic dark matter and its experimental detection
Assuming that the dilaton is the dark matter of the Universe, we propose an experiment to detect the relic dilaton using the electromagnetic resonant cavity, based on the dilaton-photon conversion in strong electromagnetic background. We calculate the density of the relic dilaton, and estimate the dilaton mass for which the dilaton becomes the dark matter of the Universe. With this we calculate the dilaton detection power in the resonant cavity, and compare it with the axion detection power in a similar resonant cavity experiment.
119914640
Weyl symmetric Abelian Decomposition and Monopole Condensation in SU(3) QCD
We generalize the previous result of SU(2) QCD and demonstrate the monopole condensation in SU(3) QCD. We present the gauge independent and Weyl symmetric Abelian (Cho-Duan-Ge) decomposition of the SU(3) QCD, and obtain an infra-red finite and gauge invariant integral expression of the one-loop effective action. Integrating it gauge invariantly imposing the color reflection invariance (``the C-projection'') we show that the effective potential generates the stable monopole condensation which generates the mass gap.
119205909
Dimensional Transmutation by Monopole Condensation in QCD
We compare two competing conjectures of the color confinement in QCD, the monopole condensation and the Abelian dominance, and show that it is the monopole condensation which is responsible for the confinement. To demonstrate this we present a new gauge invariant integral expression of the one-loop QCD effective action which has no infra-red divergence. With this we show that, just as the GSO-projection restores the supersymmetry and modular invariance in NSR string theory, the color reflection invariance ("the C-projection") assures the gauge invariance and the stability of the monopole condensation. This establishes the monopole dominance in QCD. In doing so we point out critical defects in the calculation of the Savvidy-Nielsen-Olesen (SNO) effective action.
118278694
Effective Potential of QCD
We present a simple method to calculate the one-loop effective action of QCD which reduces the calculation to that of SU(2) QCD. For the chromomagnetic background we show that the effective potential has an absolute minimum only when two color magnetic fields $H_{\mu\nu}^3$ and $H_{\mu\nu}^8$ are orthogonal to each other. For the chromoelectric background we find that the imaginary part of the effective action has a negative signature, which implies the gluon pair-annihilation. We discuss the physical implications of our result.
124911408
Unified field theory of string