Studies on Boundary Conditions and Noncommutativity in String Theory | Investigation of Noncommutativity in an open string moving in presence of a background Neveu-Schwarz field in different field theoretic approach

Arindam Ghosh Hazra

ISBN 10: 3844326804 / ISBN 13: 9783844326802

Published by LAP LAMBERT Academic Publishing, 2011

About this Item

Studies on Boundary Conditions and Noncommutativity in String Theory | Investigation of Noncommutativity in an open string moving in presence of a background Neveu-Schwarz field in different field theoretic approach | Arindam Ghosh Hazra | Taschenbuch | 112 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783844326802 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

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Bibliographic Details

• Title: Studies on Boundary Conditions and Noncommutativity in String Theory | Investigation of Noncommutativity in an open string moving in presence of a background Neveu-Schwarz field in different field theoretic approach
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2011
• Language: English
• ISBN 10: 3844326804
• ISBN 13: 9783844326802
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 8D millimeters 220 millimeters width by 150 millimeters height by 8 millimeters depth
• Weight: 185 grams
• Seller catalogs:
  • Bücher

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Synopsis

We show that non-commutativity in the spacetime coordinates of D-branes, where the end points of the open strings are attached, can be obtained by modifying the canonical Poisson bracket structure, so that it is compatible with the boundary condition. In this approach, the boundary conditions are not treated as constraints. This is similar in spirit to the treatment of Hanson, Regge and Teitelboim, where modified Poison Bracketss were obtained for the free Nambu-Goto string. Those studies were, however, restricted to the case of the bosonic string and membrane only. We extend the same methodology to the interpolating string and superstring both at classical and quantum level. We also consider the problem of noncommutativity using the new normal ordering satisfying boundary conditions. By using the contour argument and the new operator product expansion, we find the commutator among the Fourier components first and then the commutation relations among string's coordinates which reproduces the usual noncommutative structure. We extended our analysis to superstring case also.

About the Author

Dr. Arindam Ghosh Hazra obtained his Ph.D degree in Mathematical Physics under the supervision of Prof. B. Chakraborty from S. N. Bose National Centre for Basic Sciences in 2009. He is now Assistant Professor of Mathematics in Sundarban College affiliated to Calcutta University. So far he had 7 research papers published in international journals.