Non-perturbative λΦ4 in D = 1 + 1: An example of the constructive quantum field theory approach in a schematic way
During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean func...
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2013
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| LEADER | 07237caa a22006017a 4500 | ||
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| 001 | PAPER-24183 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205559.0 | ||
| 008 | 190411s2013 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84884547355 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Gueron, J. | |
| 245 | 1 | 0 | |a Non-perturbative λΦ4 in D = 1 + 1: An example of the constructive quantum field theory approach in a schematic way |
| 260 | |c 2013 | ||
| 270 | 1 | 0 | |m Departamento de Matematica, Facultad de Ciencias Físico Matemáticas e Ingeniería, Universidad Catolica Argentina, Buenos Aires, Argentina |
| 506 | |2 openaire |e Política editorial | ||
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| 520 | 3 | |a During the '70, several relativistic quantum field theory models in D = 1 + 1 and also in D = 2 + 1 have been constructed in a non-perturbative way. That was done in the so-called constructive quantum field theory approach, whose main results have been obtained by a clever use of Euclidean functional methods. Although in the construction of a single model there are several technical steps, some of them involving long proofs, the constructive quantum field theory approach contains conceptual insights about relativistic quantum field theory that deserved to be known and which are accessible without entering in technical details. The purpose of this note is to illustrate such insights by providing an oversimplified schematic exposition of the simple case of λΦ4 (with m > 0) in D = 1 + 1. Because of the absence of ultraviolet divergences in its perturbative version, this simple example - although does not capture all the difficulties in the constructive quantum field theory approach - allows to stress those difficulties inherent to the non-perturbative definition. We have made an effort in order to avoid several of the long technical intermediate steps without missing the main ideas and making contact with the usual language of the perturbative approach. © 2013 SISSA, Trieste, Italy. |l eng | |
| 593 | |a Departamento de Matematica, Facultad de Ciencias Físico Matemáticas e Ingeniería, Universidad Catolica Argentina, Buenos Aires, Argentina | ||
| 593 | |a Instituto de Astronomía y Física Del Espacio, Pabellón IAFE-CONICET, Ciudad Universitaria, C.C. 67 Suc. 28, Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a FIELD THEORIES IN LOWER DIMENSIONS |
| 690 | 1 | 0 | |a NONPERTURBATIVE EFFECTS |
| 700 | 1 | |a Leston, M. | |
| 773 | 0 | |d 2013 |g v. 2013 |k n. 8 |p J. High Energy Phys. |x 11266708 |t Journal of High Energy Physics | |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/JHEP08(2013)052 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_11266708_v2013_n8_p_Gueron |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n8_p_Gueron |y Registro en la Biblioteca Digital |
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