RT Journal Article T1 Gauge-fixing independence of IR divergences in non commutative U(1), perturbative tachyonic instabilities and supersymmetry A1 Ruiz Ruiz, Fernando AB It is argued that the quadratic and linear non-commutative IR divergences that occur in U(1) theory on non-commutative Minkowski space-time 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). PB Elsevier Science Bv SN 0370-2693 YR 2001 FD 2001-03-15 LK https://hdl.handle.net/20.500.14352/59000 UL https://hdl.handle.net/20.500.14352/59000 LA eng NO © 2001 Published by Elsevier Science B.V.The author is grateful C.P. Martín for many conversations and discussions, and to CICyT, Spain, for financial support through grant No. PB98-0842. NO CICyT DS Docta Complutense RD 22 abr 2025