Automation of calculations in QFT for Effective Field Theories

Hashmi, Rafey (2019) Automation of calculations in QFT for Effective Field Theories. Masters thesis, Indian Institute of Science Education and Research, Kolkata.

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Abstract

We have developed a module to automate the construction of the Lagrangian using the terms dictated by the gauge principles and to allow the addition of ad hoc terms, per- mitted by the gauge principles. The program also allows the functionality to perform functional derivative of the Lagrangian with respect to a field/fields and a few trans- formations. There are two types of transformations available, firstly expansion of field strength tensor and the covariant derivative which can be generated using a mapping that is automated by the gauging of the symmetries. The other type of transformations available is making the entire Lagrangian explicit in the representations of a group and giving a vacuum expectation value to a component of a scalar field of the theory (limited to models defined over global symmetries).

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