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Pedro Vieira

Portrait de Pedro Vieira
Faculty

Areas of Research:
Mathematical Physics,
Quantum Fields and Strings
Email: pvieira@perimeterinstitute.ca
Phone: x8611

AFFILIATIONS

University of Waterloo.

[Potential PhD students should apply to the Physics Department at the University of Waterloo. Students interested in pursuing studies for an MSc should apply to Perimeter's PSI program.]

Research Interests

My main research program is devoted to trying to develop exact techniques for solving gauge theories and string theories. The main goal is to come up with a more powerful formulation of interacting quantum gauge theories, better suited for its analysis beyond weak coupling.

Besides this practical outcome, this reformulation will likely also hint at important new physical principles. Onsager's 1944 solution of the 2D Ising model gave rise to an outstanding improvement of our description of 2D classical models. Whole new fields arose as a result, enabling rapid advances in our understanding of critical phenomena, phases transitions, conformal field theory, and more. Finding an exact solution of an interacting quantum gauge theory will, I hope, enable similar advances and a deeper understanding of nature itself.

With this motivation in mind, my main focus right now is in understanding Correlation Functions, Wilson Loops and Scattering Amplitudes in planar N=4 Super Yang-Mills Theory using Integrability and Holography.

Recent Publications

  • Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion Benjamin Basso, Amit Sever, Pedro Vieira, arXiv: 1407.1736
  • On the collinear limit of scattering amplitudes at strong coupling, Benjamin Basso, Amit Sever, Pedro Vieira, arXiv: 1405.6350
  • Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions, Benjamin Basso, Amit Sever, Pedro Vieira, JHEP 1408 (2014) 085, arXiv: 1402.3307
  • Tailoring Non-Compact Spin Chains, Pedro Vieira, Tianheng Wang, arXiv: 1311.6404
  • Space-time S-matrix and Flux-tube S-matrix II. Extracting and Matching Data, Benjamin Basso, Amit Sever, Pedro Vieira, JHEP 1401 (2014) 008, arXiv: 1306.2058
  • Space-time S-matrix and Flux-tube S-matrix at Finite Coupling, Benjamin Basso, Amit Sever, Pedro Vieira, Phys.Rev.Lett. 111 (2013) 091602, arXiv: 1303.1396
  • From Polygon Wilson Loops to Spin Chains and Back. Amit Sever, Pedro Vieira, Tianheng Wang, arXiv: 1208.0841
  • Tailoring Three-Point Functions and Integrability IV. Theta-morphism. Nikolay Gromov, Pedro Vieira, arXiv: 1205.5288
  • Quantum Integrability for Three-Point Functions. Nikolay Gromov, Pedro Vieira, arXiv: 1202.4103
  • Tailoring Three-Point Functions and Integrability III. Classical Tunneling, Nikolay Gromov, Amit Sever, Pedro Vieira, arXiv: 1111.2349
  • OPE for Super Loops. Amit Sever, Pedro Vieira, Tianheng Wang, arXiv: 1108.1575
  • Multichannel Conformal Blocks for Polygon Wilson Loops. Amit Sever, Pedro Vieira arXiv: 1105.5748
  • Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match. J. Escobedo, N. Gromov, A. Sever, P. Vieira. arXiv: 1104.5501
  • Pulling the straps of polygons. Davide Gaiotto, Juan Maldacena, Amit Sever, Pedro Vieira, arXiv: 1102.0062
  • Tailoring Three-Point Functions and Integrability, Jorge Escobedo, Nikolay Gromov, Amit Sever, Pedro Vieira, arXiv: 1012.2475
  • Tailoring Three-Point Functions and Integrability, Jorge Escobedo, Nikolay Gromov, Amit Sever, Pedro Vieira, arXiv: 1012.2475
  • Review of AdS/CFT Integrability, Chapter III.3: The Dressing factor. Pedro Vieira, Dmytro Volin, arXiv: 1012.3992
  • Review of AdS/CFT Integrability: An Overview., Niklas Beisert et al, arXiv: 1012.3982
  • Bootstrapping Null Polygon Wilson Loops., Davide Gaiotto, Juan Maldacena, Amit Sever, Pedro Vieira JHEP 1103 (2011) 092, arXiv: 1010.5009
  • An Operator Product Expansion for Polygonal null Wilson Loops, Luis F. Alday, Davide Gaiotto, Juan Maldacena, Amit Sever, Pedro Vieira, JHEP 1104 (2011) 088, arXiv: 1006.2788
  • Y-system for Scattering Amplitudes, Luis F. Alday, Juan Maldacena, Amit Sever, Pedro Vieira, J.Phys.A A43 (2010) 485401, arXiv: 1002.2459

Seminars

  • PIRSA:12090052, Introduction to Mathematica - Lecture 2a, 2012-09-07, 12/13 PSI - Front End
  • PIRSA:12090053, Introduction to Mathematica - Lecture 2b, 2012-09-07, 12/13 PSI - Front End
  • PIRSA:12090051, Introduction to Mathematica - Lecture 1b, 2012-09-04, 12/13 PSI - Front End
  • PIRSA:12090041, Introduction to Mathematica - Lecture 1a, 2012-09-04, 12/13 PSI - Front End
  • PIRSA:12070005, String Theory and Holography, 2012-07-24, ISSYP 2012
  • PIRSA:12030060, Explorations in String Theory - Lecture 15, 2012-03-30, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030059, Explorations in String Theory - Lecture 14, 2012-03-29, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030058, Explorations in String Theory - Lecture 13, 2012-03-28, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030057, Explorations in String Theory - Lecture 12, 2012-03-27, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030056, Explorations in String Theory - Lecture 11, 2012-03-26, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030053, Explorations in String Theory - Lecture 10, 2012-03-23, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030052, Explorations in String Theory - Lecture 9, 2012-03-22, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030051, Explorations in String Theory - Lecture 8, 2012-03-21, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030050, Explorations in String Theory - Lecture 7, 2012-03-20, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030049, Explorations in String Theory - Lecture 6, 2012-03-19, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030046, Explorations in String Theory - Lecture 5, 2012-03-16, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030045, Explorations in String Theory - Lecture 4, 2012-03-15, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030044, Explorations in String Theory - Lecture 3, 2012-03-14, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030043, Explorations in String Theory - Lecture 2, 2012-03-13, 11/12 PSI - Explorations in String Theory
  • PIRSA:12030042, Explorations in String Theory - Lecture 1, 2012-03-12, 11/12 PSI - Explorations in String Theory
  • PIRSA:12020159, Researcher Presentation - Pedro Vieira, 2012-02-29, 11/12 PSI - Researcher Presentations
  • PIRSA:12020150, Mathematica and Symbolic Computations, 2012-02-09, Workshop: Computational Methods at Perimeter
  • PIRSA:11090120, Research Presentation - String Theory, 2011-09-16, String Seminars
  • PIRSA:11090046, Mathematica - Lecture 5, 2011-09-02, 11/12 PSI - Orientation Weeks
  • PIRSA:11090045, Mathematica - Lecture 4, 2011-09-01, 11/12 PSI - Orientation Weeks
  • PIRSA:11080140, Mathematica - Lecture 3, 2011-08-31, 11/12 PSI - Orientation Weeks
  • PIRSA:11080139, Mathematica - Lecture 2, 2011-08-30, 11/12 PSI - Orientation Weeks
  • PIRSA:11080138, Mathematica - Lecture 1, 2011-08-29, 11/12 PSI - Orientation Weeks
  • PIRSA:11080016, Amplitudes at Strong Coupling, 2011-08-05, Mathematica Summer School
  • PIRSA:11070095, Intro to Mathematica, example, 2011-07-31, Mathematica Summer School
  • PIRSA:11040002, Explorations in String Theory - Lecture 15, 2011-04-01, 10/11 PSI - Explorations in String Theory
  • PIRSA:11030065, Explorations in String Theory - Lecture 14, 2011-03-31, 10/11 PSI - Explorations in String Theory
  • PIRSA:11030064, Explorations in String Theory - Lecture 13, 2011-03-30, 10/11 PSI - Explorations in String Theory
  • PIRSA:11030063, Explorations in String Theory - Lecture 12, 2011-03-29, 10/11 PSI - Explorations in String Theory
  • PIRSA:11030062, Explorations in String Theory - Lecture 11, 2011-03-28, 10/11 PSI - Explorations in String Theory
  • PIRSA:11030049, Explorations in String Theory - Lecture 2, 2011-03-15, 10/11 PSI - Explorations in String Theory
  • PIRSA:11030048, Explorations in String Theory - Lecture 1, 2011-03-14, 10/11 PSI - Explorations in String Theory
  • PIRSA:10090089, Introduction to Complex Analysis/Computer Skills - Lecture 9B, 2010-09-10, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090079, Introduction to Complex Analysis/Computer Skills - Lecture 9A, 2010-09-10, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090088, Introduction to Complex Analysis/Computer Skills - Lecture 8B, 2010-09-09, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090078, Introduction to Complex Analysis/Computer Skills - Lecture 8A, 2010-09-09, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090087, Introduction to Complex Analysis/Computer Skills - Lecture 7B, 2010-09-08, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090077, Introduction to Complex Analysis/Computer Skills - Lecture 7A, 2010-09-08, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090076, Introduction to Complex Analysis/Computer Skills - Lecture 6A, 2010-09-07, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090086, Introduction to Complex Analysis/Computer Skills - Lecture 6B, 2010-09-07, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090082, Introduction to Complex Analysis/Computer Skills - Lecture 5B, 2010-09-03, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090075, Introduction to Complex Analysis/Computer Skills - Lecture 5A, 2010-09-03, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090074, Introduction to Complex Analysis/Computer Skills - Lecture 4A, 2010-09-02, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090081, Introduction to Complex Analysis/Computer Skills - Lecture 4B, 2010-09-02, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090091, Introduction to Complex Analysis/Computer Skills - Lecture 4C, 2010-09-02, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090080, Introduction to Complex Analysis/Computer Skills - Lecture 3B, 2010-09-01, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10090073, Introduction to Complex Analysis/Computer Skills - Lecture 3A, 2010-09-01, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10080043, Introduction to Complex Analysis/Computer Skills - Lecture 2B, 2010-08-31, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10080041, Introduction to Complex Analysis/Computer Skills - Lecture 2A, 2010-08-31, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10080042, Introduction to Complex Analysis/Computer Skills - Lecture 1B, 2010-08-30, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10080040, Introduction to Complex Analysis/Computer Skills - Lecture 1A, 2010-08-30, 10/11 PSI - Introduction to Complex Analysis/Computer Skills
  • PIRSA:10020114, Explorations in String Theory (PHYS 647) - Lecture 10, 2010-02-26, 09/10 PSI - Explorations in String Theory
  • PIRSA:10020113, Explorations in String Theory (PHYS 647) - Lecture 9, 2010-02-25, 09/10 PSI - Explorations in String Theory
  • PIRSA:10020112, Explorations in String Theory (PHYS 647) - Lecture 8, 2010-02-24, 09/10 PSI - Explorations in String Theory
  • PIRSA:10020111, Explorations in String Theory (PHYS 647) - Lecture 7, 2010-02-23, 09/10 PSI - Explorations in String Theory
  • PIRSA:10020110, Explorations in String Theory (PHYS 647) - Lecture 6, 2010-02-22, 09/10 PSI - Explorations in String Theory
  • PIRSA:09040016, Integrability in gauge/string dualities, 2009-04-27, Colloquium
  • PIRSA:09030031, Integrability and planar AdS/CFT 3, 2009-03-03, Integrability and planar AdS/CFT
  • PIRSA:09030030, Integrability and planar AdS/CFT 2, 2009-03-02, Integrability and planar AdS/CFT
  • PIRSA:09020046, Integrability and planar AdS/CFT 1, 2009-02-27, Integrability and planar AdS/CFT