arXiv subjects

Miho Koma

Publications and source records attributed to Miho Koma.

21 records · Page 2Linked to original sources

arXiv2002

Effective string action for the U(1)xU(1) dual Ginzburg-Landau theory beyond the London limit

The effective string action of the color-electric flux tube in the U(1) x U(1) dual Ginzburg-Landau (DGL) theory is studied by performing a path-integral analysis by taking into accountthe finite thickness of the flux tube. The DGL theory, corresponding to the low-energy effective theory of Abelian-projected SU(3) gluodynamics, can be expressed as s [U(1)]^{3} dual Abelian Higgs (DAH) model with a certain constraint in the Weyl symmetric formulation. This formulation allows us to adopt quite similar path-integral techniques as in the U(1) DAH model, and therefore, the resulting effective string action in the U(1) x U(1) DGL theory has also quite a similar structure except the number of color degrees of freedom. A modified Yukawa interaction appears as a boundary contribution, which is completely due to the finite thickness of the flux tube, and is reduced into the ordinary Yukawa interaction in the deep type-II (London) Limit.

hep-th↗

arXiv2002

Towards the String representation of the dual Abelian Higgs model beyond the London limit

We perform a path-integral analysis of the string representation of the dual Abelian Higgs (DAH) model beyond the London limit, where the string describing the vortex of a flux tube has a finite thickness. We show that besides an additional vortex core contribution to the string tension, a modified Yukawa interaction appears as a boundary contribution in the type-II dual superconducting vacuum. In the London limit, the modified Yukawa interaction is reduced to the Yukawa one.

hep-th↗

arXiv2002

Systematics of flux tubes in the dual Ginzburg-Landau theory and Casimir scaling hypothesis: folklore and lattice facts

The ratios between string tensions $σ_D$ of color-electric flux tubes in higher and fundamental SU(3) representations, $d_{D} \equiv σ_{D}/σ_{\bf 3}$, are systematically studied in a Weyl symmetric formulation of the DGL theory. The ratio is found to depend on the Ginzburg-Landau (GL) parameter, $κ\equiv m_χ/m_{B}$, the mass ratio between monopoles ($m_χ$) and dual gauge bosons ($m_{B}$). While the ratios $d_{D}$ follow a simple flux counting rule in the Bogomol'nyi limit, $κ=1.0$, systematic deviations appear with increasing $κ$ due to interactions between fundamental flux inside a higher representation flux tube. We find that in a type-II dual superconducting vacuum near $κ= 3.0$ this leads to a consistent description of the ratios $d_{D}$ observed in lattice QCD simulations.

hep-ph↗