• Satish D Joglekar

      Articles written in Pramana – Journal of Physics

    • Adler-Bardeen theorem in path integral formulation

      Satish D Joglekar Anuradha Misra

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      The higher order contributions to Jacobian in Fujikawa’s path integral framework is considered and the form of anomaly equation in higher orders is established. An argument for the Adler-Bardeen theorem in this formulation is given.

    • Renormalization of a gauge theory in a nonlinear gauge

      Satish D Joglekar

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      We discuss renormalization of an O(3) gauge model with the gauge fixing term given by ℒg.f.=-1/ζ|(∂μ-igA3μ)W|2-(1/2α)(∂A3)2. We utilize earlier results on the general theory of renormalization of gauge theories in quadratic gauges to prove multiplicative renormalizability of the theory together with a subtractive renormalization of gauge fixing and ghost terms. We show that this model has a double BRS invariance and that it is preserved under renormalization.

    • General theory of renormalization of gauge theories in nonlinear gauges

      Satish D Joglekar

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      We discuss the general theory of renormalization of unbroken gauge theories in the nonlinear gauges in which the gauge-fixing term is of the form$$ - \frac{1}{2}\sum\limits_\alpha {f_\alpha ^2 [A] = - \frac{1}{2}} \sum\limits_\alpha {\frac{1}{{\eta _\alpha }}(\partial ^\mu A_\mu ^\alpha + \zeta _{\beta \gamma }^\alpha A_\mu ^\beta A^{\gamma \mu } )^2 } $$ We show that higher loop renormalization modifiesfα [A] to contain ghost terms of the form$$f_\alpha [A,c,\bar c] = \eta _\alpha ^{ - \frac{1}{2}} (\partial ^\mu A_\mu ^\alpha + \zeta _{\beta \gamma }^\alpha A_\mu ^\beta A^{\gamma \mu } + \tau _\gamma ^{\alpha \beta } \bar c_\beta c_\gamma )$$ and show how the corresponding ghost terms are deduced fromfα [A, c, c] uniquely. We show that the theory can be renormalized while preserving a modified form of BRS invariance by multiplicative and independent renormalizations onA, c, g, η, ζ, τ. We briefly discuss the independence of the renormalized S-matrix from η,ζ, τ.

    • On mass-independence of the minimal subtraction scheme in dimensional regularization II

      Satish D Joglekar

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      A self-contained argument is given for the mass independence of the renormalization constants in the minimal subtraction scheme in dimensional regularization in a two mass theory (Yukawa theory). An extension to a theory containing more mass parameters seems straightforward.

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