Gauge fixing independence of IR divergences in noncommutative U(1), perturbative tachyonic instabilities and supersymmetry

Ruiz, F.Ruiz

doi:10.1016/S0370-2693(01)00145-9

Gauge fixing independence of IR divergences in noncommutative U(1), perturbative tachyonic instabilities and supersymmetry

F.Ruiz Ruiz
(
- Madrid U.
)

Dec, 2000

8 pages

Published in:

Phys.Lett.B 502 (2001) 274-278

e-Print:

hep-th/0012171 [hep-th]

DOI:

10.1016/S0370-2693(01)00145-9

Report number:

UCM-FT-00-13-02

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Abstract:

It is argued that the quadratic and linear non-commutative IR divergences that occur in U(1) theory on non-commutative Minkowski spacetime for small non-commutativity matrices

\theta^{\mu\nu}

are gauge-fixing independent. This implies in particular that the perturbative tachyonic instability produced by the quadratic divergences of this type in the vacuum polarization tensor is not a gauge-fixing artifact. Supersymmetry can be introduced to remove from the renormalized Green functions at one loop, not only the non-logarithmic non-commutative IR divergences, but also all terms proportional to

\theta^{\mu\nu}p_\nu

Note:

8 pages, no figures Report-no: UCM-FT/00-13-02

11.15.-q
11.30.Pb
11.10.Gh
Non-commutative U (1) gauge theory
IR divergences
Gauge-fixing independence
Tachyonic instability
Non-commutative U(1) gauge theory
gauge field theory: U(1))
gauge field theory: noncommutative

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