Built on

K. Johnson and C. B. Thorn, “String-Like Solutions of the Bag Model,” Phys. Rev. D 13
1976
Earlier work this paper cites.
A. M. Polyakov, “Quark Confinement and Topology of Gauge Groups,” Nucl. Phys. B 120
1977
Earlier work this paper cites.
N. S. Manton, “The Force Between ’t Hooft-Polyakov Monopoles,” Nucl. Phys. B 126
1977
Earlier work this paper cites.
J. N. Goldberg, P. S. Jang, S. Y. Park and K. C. Wali, “Interactions Between ’t Hooft-Polyakov Monopoles,” Phys. Rev. D 18
1978
Earlier work this paper cites.
P. Hasenfratz and J. Kuti, “The Quark Bag Model,” Phys. Rept. 40
1978
Earlier work this paper cites.
E. Witten, “Chiral Symmetry, the 1/N Expansion, and the SU(N) Thirring Model,” Nucl. Phys. B 145
1978
Earlier work this paper cites.
L. O’Raifeartaigh, S. Y. Park and K. C. Wali, “On Magnetic Monopole Interactions,” Phys. Rev. D 20
1979
Earlier work this paper cites.
D. J. Gross, R. D. Pisarski and L. G. Yaffe, “QCD and Instantons at Finite Temperature,” Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
N. Seiberg and E. Witten, “Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory,” Nucl. Phys. B 426
1994
Earlier work this paper cites.
M. R. Douglas and S. H. Shenker, “Dynamics of SU(N) supersymmetric gauge theory,” Nucl. Phys. B 447
1995
Earlier work this paper cites.
K. M. Lee and P. Yi, “Monopoles and instantons on partially compactified D-branes,” Phys. Rev. D 56
1997
Earlier work this paper cites.
T. C. Kraan and P. van Baal, “Monopole constituents inside SU(n) calorons,” Phys. Lett. B 435
1998
Earlier work this paper cites.
A. Hanany, M. J. Strassler and A. Zaffaroni, “Confinement and strings in MQCD,” Nucl. Phys. B 513
1998
Earlier work this paper cites.
H. Georgi, “Lie algebras in particle physics,” Front. Phys. 54
1999
Earlier work this paper cites.
G. S. Bali, “Casimir scaling of SU(3) static potentials,” Phys. Rev. D 62
2000
Earlier work this paper cites.
C. P. Herzog and I. R. Klebanov, “On string tensions in supersymmetric SU(M) gauge theory,” Phys. Lett. B 526
2002
Earlier work this paper cites.
A. Di Giacomo, H. G. Dosch, V. I. Shevchenko and Y. A. Simonov, “Field correlators in QCD: Theory and applications,” Phys. Rept. 372
2002
Earlier work this paper cites.
Y. Makeenko, “Methods of contemporary gauge theory,” Cambridge University Press, 2002
2002
Earlier work this paper cites.
D. Antonov and L. Del Debbio, “k string tensions in the 3-d SU(N) Georgi-Glashow model,” JHEP 0312
2003
Earlier work this paper cites.
J. Greensite, “The Confinement problem in lattice gauge theory,” Prog. Part. Nucl. Phys. 51
2003
Earlier work this paper cites.

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2017

String tensions in deformed Yang-Mills theory

Poppitz, Erich, T, M. Erfan Shalchian

Understand

We study k-strings in deformed Yang-Mills (dYM) with SU(N) gauge group in the semiclassically calculable regime on ${\rm I\!R}^3 \times S^1$.

Their tensions T$_{\text{k}}$ are computed in two ways: numerically, for $2$ $\le$ N $\le$ $10$, and via an analytic approach using a re-summed perturbative expansion.
The latter serves both as a consistency check on the numerical results and as a tool to analytically study the large-N limit.
We find that dYM k-string ratios T$_{\text{k}}$/T$_{\text{1}}$ do not obey the well-known sine- or Casimir-scaling laws.

Built on

K. Johnson and C. B. Thorn, “String-Like Solutions of the Bag Model,” Phys. Rev. D 13
1976
Earlier work this paper cites.
A. M. Polyakov, “Quark Confinement and Topology of Gauge Groups,” Nucl. Phys. B 120
1977
Earlier work this paper cites.
N. S. Manton, “The Force Between ’t Hooft-Polyakov Monopoles,” Nucl. Phys. B 126
1977
Earlier work this paper cites.
J. N. Goldberg, P. S. Jang, S. Y. Park and K. C. Wali, “Interactions Between ’t Hooft-Polyakov Monopoles,” Phys. Rev. D 18
1978
Earlier work this paper cites.
P. Hasenfratz and J. Kuti, “The Quark Bag Model,” Phys. Rept. 40
1978
Earlier work this paper cites.
E. Witten, “Chiral Symmetry, the 1/N Expansion, and the SU(N) Thirring Model,” Nucl. Phys. B 145
1978
Earlier work this paper cites.
L. O’Raifeartaigh, S. Y. Park and K. C. Wali, “On Magnetic Monopole Interactions,” Phys. Rev. D 20
1979
Earlier work this paper cites.
D. J. Gross, R. D. Pisarski and L. G. Yaffe, “QCD and Instantons at Finite Temperature,” Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
N. Seiberg and E. Witten, “Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory,” Nucl. Phys. B 426
1994
Earlier work this paper cites.
M. R. Douglas and S. H. Shenker, “Dynamics of SU(N) supersymmetric gauge theory,” Nucl. Phys. B 447
1995
Earlier work this paper cites.
K. M. Lee and P. Yi, “Monopoles and instantons on partially compactified D-branes,” Phys. Rev. D 56
1997
Earlier work this paper cites.
T. C. Kraan and P. van Baal, “Monopole constituents inside SU(n) calorons,” Phys. Lett. B 435
1998
Earlier work this paper cites.
A. Hanany, M. J. Strassler and A. Zaffaroni, “Confinement and strings in MQCD,” Nucl. Phys. B 513
1998
Earlier work this paper cites.
H. Georgi, “Lie algebras in particle physics,” Front. Phys. 54
1999
Earlier work this paper cites.
G. S. Bali, “Casimir scaling of SU(3) static potentials,” Phys. Rev. D 62
2000
Earlier work this paper cites.
C. P. Herzog and I. R. Klebanov, “On string tensions in supersymmetric SU(M) gauge theory,” Phys. Lett. B 526
2002
Earlier work this paper cites.
A. Di Giacomo, H. G. Dosch, V. I. Shevchenko and Y. A. Simonov, “Field correlators in QCD: Theory and applications,” Phys. Rept. 372
2002
Earlier work this paper cites.
Y. Makeenko, “Methods of contemporary gauge theory,” Cambridge University Press, 2002
2002
Earlier work this paper cites.
D. Antonov and L. Del Debbio, “k string tensions in the 3-d SU(N) Georgi-Glashow model,” JHEP 0312
2003
Earlier work this paper cites.
J. Greensite, “The Confinement problem in lattice gauge theory,” Prog. Part. Nucl. Phys. 51
2003
Earlier work this paper cites.