Determinant of the SU(N) caloron with nontrivial holonomy

@article{Slizovskiy2007DeterminantOT,
  title={Determinant of the SU(N) caloron with nontrivial holonomy},
  author={Sergey Slizovskiy},
  journal={Physical Review D},
  year={2007},
  volume={76},
  pages={085019}
}
The 1-loop quantum weight of the SU(N) Kraan-van Baal-Lee-Lu caloron with nontrivial holonomy is calculated. The caloron is the most general self-dual solution with unit topological charge in the 4d Yang-Mills theory with one compactified dimension (finite temperature) 
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References

SHOWING 1-10 OF 102 REFERENCES

Fermionic determinant for SU(N) caloron with nontrivial holonomy

In the finite-temperature Yang-Mills theory we calculate the functional determinant for fermions in the fundamental representation of the SU(N) gauge group in the background of an instanton with…

Calorons and BPS monopoles with non-trivial holonomy in the confinement phase of SU(2) gluodynamics ∗

Monopole constituents inside SU(n) calorons

Exact fermion zero-mode for the new calorons

SU(2) calorons and magnetic monopoles

We investigate the self-dual Yang-Mills gauge configurations on R{sup 3}{times}S{sup 1} when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We construct the explicit field…

Monopole determinant in Yang-Mills theory at finite temperature

Exact T-duality between calorons and Taub-NUT spaces

SU(N) caloron measure and its relation to instantons

Calorons of the SU(N) gauge group with nontrivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N…

Periodic instantons with non-trivial holonomy

Electromagnetic duality and SU(3) monopoles

...