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Theoretical Particle Physics

Publications

Converting Classical Theories to Quantum Theories by Solutions of the Hamilton-Jacobi Equation

Publicaciones

Converting Classical Theories to Quantum Theories by Solutions of the Hamilton-Jacobi Equation

Research areas:

Física Teórica de Partículas

Year:

2012

Type of Publication:

In Proceeding

Authors:

Journal:

Phys.Rev.

Volume:

D86

Pages:

35

Abstract:

By employing special solutions of the Hamilton-Jacobi equation and tools from lattice theories, we suggest an approach to convert classical theories to quantum theories for mechanics and field theories. Some nontrivial results are obtained for a gauge field and a fermion field. For a topologically massive gauge theory, we can obtain a first order Lagrangian with mass term. For the fermion field, in order to make our approach feasible, we supplement the conventional Lagrangian with a surface term. This surface term can also produce the massive term for the fermion.

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