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Journal of Physics: Conference Series 537, 012004 (2014)

The Hubbard-Stratonovich Transformation and Exchange Boson Contributions

Nguyen Van Hoa and Nguyen Tri Lan

The Hubbard - Stratonovich transformation of many - body theory is reconsidered in various versions. Learning from its failures in coping with competing channels of collective phenomena, a combined Hubbard - Stratonovich transformation is proposed to overcome these diculties. That yields a variety of uctuating bosonic quantum elds describing the competition of di erent phases in the system under consideration. As a consequence of results, the validity of the Hubbard - Stratonovich transformation and its relation to a given order parameter are discussed.

DOI: doi:10.1088/1742-6596/537/1/012004