Quantum Mechanics on Moduli Spaces

Details Quantum Mechanics on Moduli Spaces Quantum Mechanics on Moduli Spaces

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.127s&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

In the adiabatic limit, the motion of solitons is described classically by a geodesics in the space spanned by the parameters of the soliton solutions, which is called a moduli space. We construct quantum mechanics on moduli spaces in a general framework following the Born-Oppenheimer approximation method and examine quantum effects on the motion of solitons. The Born-Oppenheimer approximation enables us to take the infinite number of degrees of freedom into the system on the finite dimensional moduli space as the quantum potential energy and to reduce quantum field theory on the physical space-time to quantum mechanics on the moduli space. To evaluate the effect of the potential, we also apply our result to solitons in the CP1 sigma model.

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