Applications of Quantum Field Theory

• Grant number: 19/24277-8
• Support Opportunities: Research Projects - SPEC Program
• Start date: March 01, 2020
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Pedro Gil Martins Vieira
• Grantee: Pedro Gil Martins Vieira
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• City of the host institution: São Paulo
• Associated researchers: Nathan Jacob Berkovits
• Associated scholarship(s): 24/12375-3 - Multiple Particle Bootstrap, BP.PD; 23/03825-2 - Scattering theory meets critical phenomena, BP.PD; 23/03208-3 - Massless s-matrix bootstrap and string theory, BP.PD; + associated scholarships 23/04415-2 - Multiple Particle Bootstrap, BP.PD; 21/02304-3 - Hexagons for general (String and Gauge) Theories, BP.PD; 20/16337-8 - Small operators, BP.PD - associated scholarships

Abstract

All four known forces in our universe are described by quantum field theory. Yet, despite their absolutely central role in physics, quantum field theories are very far from being tamed with our current theoretical tools. A mathematically sound analytic description of physical phenomena such as confinement, chiral symmetry breaking or the existence of a mass gap is not available, and to address thesefascinating questions, one needs control over QFTs in the strongly coupled regime where standard perturbative techniques fall short. New conceptual approaches and tools are urgently needed.My main research thus far has mainly been precisely focused on developing such tools by means of two complementary approaches.One approach aims at learning about non-perturbative QFT by studying one theory in excruciating detail, namely maximally supersymeetric Yang-Mills theory. The other complementary approach aims at leaning about strongly coupled QFT by chartingthe allowed space of all theories compatible with relativity, quantum mechanics and the assumption of analyticity, closely related tolocality. (AU)

Scientific publications

(22)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

BEHAN, CONNOR; LAURIA, EDOARDO; NOCCHI, MARIA; VAN VLIET, PHILINE. Analytic and numerical bootstrap for the long-range Ising model. Journal of High Energy Physics, v. N/A, n. 3, p. 62-pg., 2024-03-22. (19/24277-8, 23/03825-2)

APRILE, FRANCESCO; OLIVUCCI, ENRICO. Multipoint fishnet Feynman diagrams: Sequential splitting. PHYSICAL REVIEW D, v. 108, n. 12, p. 7-pg., 2023-12-21. (19/24277-8)

APRILE, FRANCESCO; HESLOP, PAUL. Superconformal Blocks in Diverse Dimensions and BC Symmetric Functions. Communications in Mathematical Physics, v. 402, n. 2, p. 107-pg., 2023-06-30. (19/24277-8, 16/01343-7, 20/16337-8)

BERKOVITS, NATHAN. Equivalence proof of pure spinor and Ramond-Neveu-Schwarz superstring amplitudes. Journal of High Energy Physics, v. N/A, n. 6, p. 9-pg., 2025-06-19. (19/24277-8, 16/01343-7, 19/21281-4, 21/14335-0)

OLIVUCCI, ENRICO; VIEIRA, PEDRO. Stampedes I: fishnet OPE and octagon Bootstrap with nonzero bridges. Journal of High Energy Physics, v. N/A, n. 7, p. 34-pg., 2022-07-04. (19/24277-8, 16/01343-7)

BEHAN, CONNOR; PITOMBO, RODRIGO S.. Mellin amplitudes for AdS₃x S³. Journal of High Energy Physics, v. N/A, n. 11, p. 50-pg., 2024-11-08. (21/14335-0, 22/05236-1, 19/24277-8, 23/03825-2)

SEN, KALLOL. Exploring 2d localization with a step-dependent coin. EUROPEAN PHYSICAL JOURNAL PLUS, v. 139, n. 12, p. 13-pg., 2024-12-31. (19/24277-8, 21/02304-3)

OLIVUCCI, ENRICO. Hexagonalization of Fishnet integrals. Part II. Overlaps and multi-point correlators. Journal of High Energy Physics, v. N/A, n. 1, p. 50-pg., 2024-01-16. (16/01343-7, 19/24277-8)

BERCINI, CARLOS; GONCALVES, VASCO; HOMRICH, ALEXANDRE; VIEIRA, PEDRO. Spinning hexagons. Journal of High Energy Physics, v. N/A, n. 9, p. 38-pg., 2022-09-27. (19/24277-8, 16/01343-7, 18/25180-5)

GUERRIERI, ANDREA L.; PENEDONES, JOAO; VIEIRA, PEDRO. S-matrix bootstrap for effective field theories: massless pions. Journal of High Energy Physics, n. 6, JUN 14 2021. (16/01343-7, 19/24277-8)

BENAKLI, KARIM; BERKOVITS, NATHAN; DANIEL, CASSIANO A.; LIZE, MATHEUS. Higher-spin states of the superstring in an electromagnetic background. Journal of High Energy Physics, n. 12, DEC 17 2021. (19/17805-8, 20/10183-9, 19/24277-8, 16/01343-7, 19/21281-4, 16/16824-0)

BERKOVITS, NATHAN; JULIATTO, VILSON FABRICIO; PORTUGAL, ULISSES M.. Instanton solutions in open superstring field theory. Journal of High Energy Physics, v. N/A, n. 9, p. 22-pg., 2022-09-01. (19/21281-4, 19/24277-8, 20/15902-3, 16/01343-7)

BERKOVITS, NATHAN. Manifest spacetime supersymmetry and the superstring. Journal of High Energy Physics, n. 10, OCT 20 2021. (19/24277-8, 19/21281-4, 16/01343-7)

BERKOVITS, NATHAN; CHANDIA, OSVALDO; GOMIDE, JOAO; MARTINS, LUCAS N. S.. B-RNS-GSS heterotic string in curved backgrounds. Journal of High Energy Physics, v. N/A, n. 2, p. 30-pg., 2023-02-09. (22/04105-0, 21/09003-9, 19/14061-8, 19/21281-4, 19/24277-8, 21/14335-0, 16/01343-7, 18/07834-8)

GUERRIERI, ANDREA L.; PENEDONES, JOAO; VIEIRA, PEDRO. S-matrix bootstrap for effective field theories: massless pions. Journal of High Energy Physics, v. N/A, n. 6, p. 26-pg., 2021-06-14. (19/24277-8, 16/01343-7)

BERKOVITS, NATHAN. D=5 holomorphic Chern-Simons and the pure spinor superstring. Journal of High Energy Physics, v. N/A, n. 2, p. 18-pg., 2023-02-16. (19/21281-4, 16/01343-7, 21/14335-0, 19/24277-8)

BERCINI, CARLOS; GONCALVES, VASCO; HOMRICH, ALEXANDRE; VIEIRA, PEDRO. The Wilson loop - large spin OPE dictionary. Journal of High Energy Physics, v. N/A, n. 7, p. 33-pg., 2022-07-13. (19/24277-8, 16/01343-7, 18/25180-5)

SAHU, HIMANSHU; SEN, KALLOL. Quantum-walk search in motion. SCIENTIFIC REPORTS, v. 14, n. 1, p. 15-pg., 2024-02-02. (19/24277-8, 21/02304-3)

ANTUNES, ANTONIO; BEHAN, CONNOR. Coupled minimal models revisited II: Constraints from permutation symmetry. SCIPOST PHYSICS, v. 18, n. 4, p. 39-pg., 2025-04-01. (19/24277-8, 21/14335-0, 23/03825-2)

APRILE, F.; BEHAN, C.; PITOMBO, R. S.; SANTAGATA, M.. Simplicity of Mellin amplitudes for AdS3 x S3. PHYSICAL REVIEW D, v. 112, n. 6, p. 8-pg., 2025-09-16. (22/05236-1, 24/08232-2, 19/24277-8, 23/03825-2)

BEHAN, CONNOR; CHESTER, SHAI M.; FERRERO, PIETRO. Towards bootstrapping F-theory. Journal of High Energy Physics, v. N/A, n. 10, p. 40-pg., 2024-10-23. (19/24277-8, 23/03825-2)

BERKOVITS, NATHAN; PITOMBO, RODRIGO S.. 4D Chern-Simons and the pure spinor AdS 5 x S 5 superstring. PHYSICAL REVIEW D, v. 109, n. 10, p. 11-pg., 2024-05-13. (22/05236-1, 19/24277-8, 19/21281-4, 21/14335-0)