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Ultraviolet Finiteness Of All Quantum Loops In Gauge Supersymmetry, Pran Nath, R. Arnowitt
Ultraviolet Finiteness Of All Quantum Loops In Gauge Supersymmetry, Pran Nath, R. Arnowitt
Pran Nath
The arbitrary n-point Green's functions of spontaneously broken gauge supersymmetry are shown to be ultraviolet finite to arbitrary loop order for N>~2 (where 4N is the number of Fermi coordinates) when the spontaneous breaking preserves global supersymmetry.
Spontaneous Symmetry Breaking Of Gauge Supersymmetry, R. Arnowitt, Pran Nath
Spontaneous Symmetry Breaking Of Gauge Supersymmetry, R. Arnowitt, Pran Nath
Pran Nath
Spontaneous symmetry breaking of gauge supersymmetry to global supersymmetry is seen to determine in part the internal-symmetry gauge group through the equations RAB=λgAB. For the case λ≠0 the determination is complete, the resultant group being the U(1) Maxwell-Einstein coordinate group. For λ=0, spontaneous breaking automatically requires parity breakdown in the vacuum, and is consistent with SU(2) ⊗ U(10 ⊗ color.
Quantum Effects On The Vacuum Symmetries Of Gauge Supersymmetry, Pran Nath, R. Arnowitt
Quantum Effects On The Vacuum Symmetries Of Gauge Supersymmetry, Pran Nath, R. Arnowitt
Pran Nath
Path-integral quantization of gauge supersymmetry is given which is manifestly consistent with global supersymmetry. The spontaneous-symmetry-breaking equations including quantum loop corrections to determine the vacuum metric gA B⁽⁰⁾≡〈0|gAB|0〉 are deduced from the effective potential. If solutions exist for gA B⁽⁰⁾ which are globally supersymmetric, it is shown that a subgroup of Yang-Mills gauges must be preserved. The full class of gauges ξA(z) preserved under a globally supersymmetric gA B⁽⁰⁾ is determined. These are seen to be (i) the Einstein gauge, (ii) the preserved Yang-Mills gauges, and (iii) a supergravity-type gauge. All other gauges in ξA(z) are spontaneously broken. The analysis …