On the Renormalization of the Complex Scalar Free Field Theory

Abstract

Polar coordinates are used for the complex scalar free field in D=4 dimensions. The resulting non renormalizable theory is healed by using a recently proposed symmetric subtraction procedure. The existence of the coordinates transformation is proved by construction.

27 pages, no figures, LaTex

References in corpus (8)

• A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• One-loop Self-energy and Counterterms in a Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• The SU(2) X U(1) Electroweak Model based on the Nonlinearly Realized Gauge Group
• One-loop Self-energies in the Electroweak Model with Nonlinearly Realized Gauge Group
• Further Comments on the Symmetric Subtraction of the Nonlinear Sigma Model
• The Hierarchy Principle and the Large Mass Limit of the Linear Sigma Model
• The SU(2) X U(1) Electroweak Model based on the Nonlinearly Realized Gauge Group. II. Functional Equations and the Weak Power-Counting
• Path-integral over non-linearly realized groups and Hierarchy solutions

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• Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach
• Field redefinition and renormalisability in scalar field theories
• Nonlinear Realization of the SU(5) Georgi-Glashow Model
• Of Higgs, Unitarity and other Questions