Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 188-193 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 756 |
| DOIs | |
| Publication status | Published - 10 May 2016 |
Fingerprint
Keywords
- Clairaut-type equations
- Composite fields
- Effective action
- Legendre transformations
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Legendre transformations and Clairaut-type equations. / Lavrov, Peter M.; Merzlikin, Boris S.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 756, 10.05.2016, p. 188-193.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Legendre transformations and Clairaut-type equations
AU - Lavrov, Peter M.
AU - Merzlikin, Boris S.
PY - 2016/5/10
Y1 - 2016/5/10
N2 - 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.
AB - 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.
KW - Clairaut-type equations
KW - Composite fields
KW - Effective action
KW - Legendre transformations
UR - http://www.scopus.com/inward/record.url?scp=84960892496&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84960892496&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2016.03.019
DO - 10.1016/j.physletb.2016.03.019
M3 - Article
AN - SCOPUS:84960892496
VL - 756
SP - 188
EP - 193
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -