Equivalence of quantum field theories related by the $\theta$-exact Seiberg-Witten map - INSPIRE

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Equivalence of quantum field theories related by the $\theta$ -exact Seiberg-Witten map

Carmelo P. Martin
(
- Madrid U.
)
,
Josip Trampetic
(
- Boskovic Inst., Zagreb and
- Munich, Max Planck Inst.
)
,
Jiangyang You
(
- Boskovic Inst., Zagreb
)

Jun 10, 2016

5 pages

Published in:

Phys.Rev.D 94 (2016) 4, 041703

Published: Aug 17, 2016

e-Print:

1606.03312 [hep-th]

DOI:

10.1103/PhysRevD.94.041703

View in:

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Abstract: (APS)

The equivalence of the noncommutative U(N) quantum field theories related by the θ-exact Seiberg-Witten maps is, in this paper, proven to all orders in the perturbation theory with respect to the coupling constant. We show that this holds for super Yang-Mills theories with N=0, 1, 2, 4 supersymmetry. A direct check of this equivalence relation is performed by computing the one-loop quantum corrections to the quadratic part of the effective action in the noncommutative U(1) gauge theory with N=0, 1, 2, 4 supersymmetry.

Note:

5 pages. Rapid Communication version published in Phys.Rev. D94, 041703(R) (2016)

supersymmetry
field theory: U(N)
Seiberg-Witten map
noncommutative
perturbation theory
coupling constant
duality
U(1)

References(23)

Figures(0)

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