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The Nambu-Jona-Lasinio model and the chiral anomaly: M. Wakamatsu. Institute of Theoretical Physics, University of Regensburg, D-8400 Regensburg, Federal Republic of Germany


Book ID
102634477
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
75 KB
Volume
193
Category
Article
ISSN
0003-4916

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✦ Synopsis


The quantum mechanical transition amplitudes between given string configurations can be obtained by integrating over all world-sheet geometries bounded by these configurations. In the case of spinning strings, certain components of the fermion fields must also be fixed on the boundary. It follows that expressions for quantum anomalies and divergences will generally include boundary contributions which must vanish if the theory is to be finite. Using the semi-classical approximation and the heat-kernel expansion, it is shown that such contributions vanish for bosonic and spinning strings in arbitrary spacetimes of the critical dimensions. This extends the result of Alvarez, which applied only to bosonic strings in flat spacetime.

Master Equation

Versus Random Walk Approaches to Phenomena Farfrom Equilibrium.