Legendre transformations and Clairaut-type equations
It is noted that the Legendre transformations in the standard formulation of quantum field theory have the form of functional Clairaut-type equations. It is shown that in presence of composite fields the Clairaut-type form holds after loop corrections are taken into account. A new solution to the fu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-05-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316001908 |
| _version_ | 1819230196846297088 |
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| author | Peter M. Lavrov Boris S. Merzlikin |
| author_facet | Peter M. Lavrov Boris S. Merzlikin |
| author_sort | Peter M. Lavrov |
| collection | DOAJ |
| description | It is noted that the Legendre transformations in the standard formulation of quantum field theory have the form of functional Clairaut-type equations. It is shown that in presence of composite fields the Clairaut-type form holds after loop corrections are taken into account. A new solution to the functional Clairaut-type equation appearing in field theories with composite fields is found. |
| first_indexed | 2024-12-23T11:25:14Z |
| format | Article |
| id | doaj.art-e976dce8a35149bca3c2bfcbf004927e |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-23T11:25:14Z |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-e976dce8a35149bca3c2bfcbf004927e2022-12-21T17:48:57ZengElsevierPhysics Letters B0370-26931873-24452016-05-01756C18819310.1016/j.physletb.2016.03.019Legendre transformations and Clairaut-type equationsPeter M. Lavrov0Boris S. Merzlikin1Tomsk State Pedagogical University, Kievskaya St. 60, 634061 Tomsk, RussiaNational Research Tomsk Polytechnic University, Lenin Av. 30, 634050 Tomsk, RussiaIt is noted that the Legendre transformations in the standard formulation of quantum field theory have the form of functional Clairaut-type equations. It is shown that in presence of composite fields the Clairaut-type form holds after loop corrections are taken into account. A new solution to the functional Clairaut-type equation appearing in field theories with composite fields is found.http://www.sciencedirect.com/science/article/pii/S0370269316001908Clairaut-type equationsLegendre transformationsEffective actionComposite fields |
| spellingShingle | Peter M. Lavrov Boris S. Merzlikin Legendre transformations and Clairaut-type equations Physics Letters B Clairaut-type equations Legendre transformations Effective action Composite fields |
| title | Legendre transformations and Clairaut-type equations |
| title_full | Legendre transformations and Clairaut-type equations |
| title_fullStr | Legendre transformations and Clairaut-type equations |
| title_full_unstemmed | Legendre transformations and Clairaut-type equations |
| title_short | Legendre transformations and Clairaut-type equations |
| title_sort | legendre transformations and clairaut type equations |
| topic | Clairaut-type equations Legendre transformations Effective action Composite fields |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316001908 |
| work_keys_str_mv | AT petermlavrov legendretransformationsandclairauttypeequations AT borissmerzlikin legendretransformationsandclairauttypeequations |