SMETANOVÁ, Dana. The Regularization by Constant Functions of Lagrangians Linear in First Derivatives in Field Theory. Online. In Szarková, Letavaj, Richtáriková, Prašílová. 16th Conference on applied mathematics, Aplimat 2017, Proceedings. first. Bratislava: Vydavateľstvo Spektrum STU Bratislava, 2017. p. 1453-1458. ISBN 978-80-227-4650-2. [citováno 2024-04-23]
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Basic information
Original name The Regularization by Constant Functions of Lagrangians Linear in First Derivatives in Field Theory
Name in Czech Regularizace lagrangiánů lineárních v prvních derivacích pomocí konstantní funkce v teorii pole
Authors SMETANOVÁ, Dana (203 Czech Republic, guarantor, belonging to the institution)
Edition first. Bratislava, 16th Conference on applied mathematics, Aplimat 2017, Proceedings, p. 1453-1458, 6 pp. 2017.
Publisher Vydavateľstvo Spektrum STU Bratislava
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10102 Applied mathematics
Country of publisher Slovakia
Confidentiality degree is not subject to a state or trade secret
Publication form electronic version available online
RIV identification code RIV/75081431:_____/17:00001198
Organization unit Institute of Technology and Business in České Budějovice
ISBN 978-80-227-4650-2
Keywords (in Czech) lagrangián; Diracův lagrangián v poli; Poincarého - Cartanova forma; Lepageův ekvivalent lagrangiánu; Eulerovy - Lagrangeovy rovnice; Hamiltonovy rovnice
Keywords in English Lagrangian; Dirac field Lagrangian; Poincaré-Cartan form; Lepagean equivalent of the Lagrangian; Euler-Lagrange equations; Hamilton equations
Tags ATM, MAT, MAT_1, MAT_z, RIV17, SCOPUS
Changed by Changed by: Mgr. Blanka Mikšíková, učo 22534. Changed: 10/2/2018 09:26.
Abstract
In this paper we study case of the Lagrangians affine in first derivatives in first order field theory (for example Dirac field Lagrangian is of this type). By the regularization procedure we mean the process how to find appropriate Lepagean equivalent for given Lagrangian (in the sense of the geometric meaning of the regularity). The theory is illustrated od an example in dimension 4. The relations to multisymplectic forms are discussed.
Abstract (in Czech)
V tomto příspěvku se zabývame lagrangiány afinními v prvních derivacích v teorii pole (tohoto typu je například Dirakův lagrangián). Regularizací máme na mysli proces jak najít vhodný Lepageův ekvivalent k danému lagrangiánů (ve smyslu geometrické formulace regularity). Teorie je ilustrována na příkladu v dimenzi 4. Jsou diskutovány souvislosti s multisymplectickou teorií.
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