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8 papers · 2 filters
Charge quantization conditions based on the Atiyah--Singer index theorem
Shinichi Deguchi, Kaoru Kitsukawa
Dirac's quantization condition, (), and Schwinger's quantization condition, (), for an electric charge and a magnetic charge are…
Quantum anomaly and geometric phase; their basic differences
Kazuo Fujikawa
It is sometimes stated in the literature that the quantum anomaly is regarded as an example of the geometric phase. Though there is some superficial similarity between these two no…
A BRST gauge-fixing procedure for Yang-Mills theory on sphere
Rabin Banerjee, Shinichi Deguchi
A gauge-fixing procedure for the Yang-Mills theory on an n-dimensional sphere (or a hypersphere) is discussed in a systematic manner. We claim that Adler's gauge-fixing condition u…
Glueball mass spectra for supergravity duals of noncommutative gauge theories
Tadahito Nakajima, Kenji Suzuki, Hidenori Takahashi
We derive the glueball masses in noncommutative super Yang--Mills theories in four dimensions via the dual supergravity description. The spectrum of glueball masses is discrete due…
Topological properties of geometric phases
Kazuo Fujikawa
The level crossing problem and associated geometric terms are neatly formulated by using the second quantization technique both in the operator and path integral formulations. The…
Geometric phases and hidden local gauge symmetry
Kazuo Fujikawa
The analysis of geometric phases associated with level crossing is reduced to the familiar diagonalization of the Hamiltonian in the second quantized formulation. A hidden local ga…