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Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles

Indexado

WoS	WOS:000451394300007
Scopus	SCOPUS_ID:85057486886

DOI

10.1007/S13324-018-0252-6

Año

2018

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We observe a property of orthogonality of the Mellin-Barnes transformation of triangle one-loop diagrams, which follows from our previous papers (Kondrashuk and Kotikov in JHEP 0808:106, 2008; Kondrashuk and Vergara in JHEP 1003:051, 2010; Allendes et al. in J Math Phys 51:052304, 2010). In those papers it has been established that Usyukina-Davydychev functions are invariant with respect to the Fourier transformation. This has been proved at the level of graphs and also via the Mellin-Barnes transformation. We partially apply to the one-loop massless scalar diagram the same trick in which the Mellin-Barnes transformation was involved and obtain the property of orthogonality of the corresponding MB transforms under integration over contours in two complex planes with certain weight. This property is valid in an arbitrary number of dimensions.

Revista

Revista	ISSN
Analysis And Mathematical Physics	1664-2368

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics
Mathematics, Applied

Scopus
Algebra And Number Theory
Analysis
Mathematical Physics

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	GONZALEZ-PAVEZ, IVAN ALONSO	Hombre	Universidad de Valparaíso - Chile
2	Kondrashuk, Igor	Hombre	Universidad del Bío Bío - Chile
3	NOTTE-CUELLO, EDUARDO ALFONSO	Hombre	Universidad de la Serena - Chile
4	Parra-Ferrada, Ivan	Hombre	Univ Bielefeld - Alemania Universität Bielefeld - Alemania

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Financiamiento

Fuente
MECESUP
Fondo Nacional de Desarrollo Científico y Tecnológico
Universidad del Bío-Bío
Comisión Nacional de Investigación Científica y Tecnológica
FONDECYT (Chile)
Fondo de Fomento al Desarrollo Científico y Tecnológico
Universidad de La Serena
Deutsche Forschungsgemeinschaft
DIUBB
Fondo Nacional de Desarrollo CientÃfico y TecnolÃ³gico
Ministerio de Educacion, Gobierno de Chile
Beca CONICYT
DIUBB (Chile)
DIUBB via Fapei
German Science Foundation DFG Grant
Universidad del Bio-Bio and Ministerio de Educacion (Chile)
Beca Conicyt (Chile) via Doctoral fellowship CONICYT-DAAD/BECAS Chile
German Science Foundation DFG
CONICYT-DAAD/BECAS

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Agradecimientos

Agradecimiento
The work of I.K. was supported in part by Fondecyt (Chile) Grants Nos. 1040368, 1050512 and 1121030, by DIUBB (Chile) Grant Nos. 125009, GI 153209/C and GI 152606/VC. Also, the work of I.K. is supported by Universidad del Bio-Bio and Ministerio de Educacion (Chile) within Project No. MECESUP UBB0704-PD018. He is grateful to the Physics Faculty of Bielefeld University for accepting him as a visiting scientist and for the kind hospitality and the excellent working conditions during his stay in Bielefeld. E.A.N.C. work was partially supported by project DIULS PR15151, Universidad de La Serena. The work of I.P.F. was supported in part by Fondecyt (Chile) Grant No. 1121030 and by Beca Conicyt (Chile) via Doctoral fellowship CONICYT-DAAD/BECAS Chile, 2016/91609937. I.P.F. is also supported by German Science Foundation DFG Grant CRC1283 "Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications". This paper is based on the talk of I. K. at ICAMI 2017, San Andres, Colombia, November 27-December 1, 2017, and he is grateful to ICAMI organizers for inviting him. The financial support of I.K. participation in ICAMI 2017 has been provided by DIUBB via Fapei funding.
Acknowledgements The work of I.K. was supported in part by Fondecyt (Chile) Grants Nos. 1040368, 1050512 and 1121030, by DIUBB (Chile) Grant Nos. 125009, GI 153209/C and GI 152606/VC. Also, the work of I.K. is supported by Universidad del Bío-Bío and Ministerio de Educacion (Chile) within Project No. MECESUP UBB0704-PD018. He is grateful to the Physics Faculty of Bielefeld University for accepting him as a visiting scientist and for the kind hospitality and the excellent working conditions during his stay in Bielefeld. E.A.N.C. work was partially supported by project DIULS PR15151, Universidad de La Serena. The work of I.P.F. was supported in part by Fondecyt (Chile) Grant No. 1121030 and by Beca Conicyt (Chile) via Doctoral fellowship CONICYT-DAAD/BECAS Chile, 2016/91609937. I.P.F. is also supported by German Science Foundation DFG Grant CRC1283 “Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications”. This paper is based on the talk of I. K. at ICAMI 2017, San Andres, Colombia, November 27–December 1, 2017, and he is grateful to ICAMI organizers for inviting him. The financial support of I.K. participation in ICAMI 2017 has been provided by DIUBB via Fapei funding.

Agradecimiento

The work of I.K. was supported in part by Fondecyt (Chile) Grants Nos. 1040368, 1050512 and 1121030, by DIUBB (Chile) Grant Nos. 125009, GI 153209/C and GI 152606/VC. Also, the work of I.K. is supported by Universidad del Bio-Bio and Ministerio de Educacion (Chile) within Project No. MECESUP UBB0704-PD018. He is grateful to the Physics Faculty of Bielefeld University for accepting him as a visiting scientist and for the kind hospitality and the excellent working conditions during his stay in Bielefeld. E.A.N.C. work was partially supported by project DIULS PR15151, Universidad de La Serena. The work of I.P.F. was supported in part by Fondecyt (Chile) Grant No. 1121030 and by Beca Conicyt (Chile) via Doctoral fellowship CONICYT-DAAD/BECAS Chile, 2016/91609937. I.P.F. is also supported by German Science Foundation DFG Grant CRC1283 "Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications". This paper is based on the talk of I. K. at ICAMI 2017, San Andres, Colombia, November 27-December 1, 2017, and he is grateful to ICAMI organizers for inviting him. The financial support of I.K. participation in ICAMI 2017 has been provided by DIUBB via Fapei funding.

Acknowledgements The work of I.K. was supported in part by Fondecyt (Chile) Grants Nos. 1040368, 1050512 and 1121030, by DIUBB (Chile) Grant Nos. 125009, GI 153209/C and GI 152606/VC. Also, the work of I.K. is supported by Universidad del Bío-Bío and Ministerio de Educacion (Chile) within Project No. MECESUP UBB0704-PD018. He is grateful to the Physics Faculty of Bielefeld University for accepting him as a visiting scientist and for the kind hospitality and the excellent working conditions during his stay in Bielefeld. E.A.N.C. work was partially supported by project DIULS PR15151, Universidad de La Serena. The work of I.P.F. was supported in part by Fondecyt (Chile) Grant No. 1121030 and by Beca Conicyt (Chile) via Doctoral fellowship CONICYT-DAAD/BECAS Chile, 2016/91609937. I.P.F. is also supported by German Science Foundation DFG Grant CRC1283 “Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications”. This paper is based on the talk of I. K. at ICAMI 2017, San Andres, Colombia, November 27–December 1, 2017, and he is grateful to ICAMI organizers for inviting him. The financial support of I.K. participation in ICAMI 2017 has been provided by DIUBB via Fapei funding.