Instanton constraints and renormalization

The renormalization is investigated of one-loop quantum fluctuations around a constrained instanton in $\phi ^4$-theory with negative coupling. It is found that the constraint should be renormalized also. This indicates that in general only renormalizable constraints are permitted.Comment: 29 page

Instanton constraints in supersymmetric gauge theories I. Supersymmetric QCD

A previous analysis of possible constraints of Yang-Mills instantons in the presence of spontaneous symmetry breaking is extended to supersymmetric QCD. It is again found that a constraint is necessary for the gauge field in second and fourth order of the gauge breaking parameter v. While the supersymmetric zero mode is well behaved to all orders, the lifted superconformal and quark zero modes show nonpermissible behaviour, but only at first order in v.Comment: 28 page

Instanton constraints and renormalization

The renormalization is investigated of one-loop quantum fluctuations around a constrained instanton in φ 4-theory with negative coupling. It is found that the constraint should be renormalized also. This indicates that in general only renormalizable constraints are permitted. PACS number 11.10.

Instanton constraints in supersymmetric gauge theories I.

A previous analysis of possible constraints of Yang-Mills instantons in the presence of spontaneous symmetry breaking is extended to supersymmetric QCD. It is again found that a constraint is necessary for the gauge field in second and fourth order of the gauge breaking parameter v. While the supersymmetric zero mode is well behaved to all orders, the lifted superconformal and quark zero modes show nonpermissible behaviour, but only at first order in v. PACS numbers 11.15.q, 12.60.Jv