Freddy Cachazo

Freddy Cachazo's picture
Faculty

Areas of Research:
Mathematical Physics,
Quantum Fields and Strings
Phone: x8501

Research Interests

In recent years it has become clear that the scattering matrix of massless particles is a very special object. Massless particles are the backbone of our best theory of nature; the Standard Model of particle physics and gravity. In 2003, Witten succeeded in combining twistor theory and string theory to produce a new formulation for the scattering matrix of gauge bosons - massless particles of helicity plus or minus one. Since then finding a similar formulation for gravitons - particles with helicity plus or minus two - has been a very important open problem. In 2012, in collaboration with Y. Geyer (a PSI student), I found one such formulation. Not long after this first formulation was found, I found a second one with D. Skinner (a PI's PDF). All these constructions are based on four dimensional kinematics. A natural question is whether similar constructions can be found in any dimension. Such a general formulation could lead to a deeper understanding of field theory in general. In collaboration with E. Yuan (a PI graduate student) and S. He (a PI postdoctoral fellow), I found such a construction. It expresses the tree-level scattering matrices of gluons and gravitons in any dimensions as integrals over the moduli space of n-punctured spheres.

Positions Held

  • September 2009 - June 2010 School of Natural Sciences. Institute for Advanced Study. Princeton NJ. Member.
  • 2005-present. Perimeter Institute. Faculty Member
  • 2002-2005 School of Natural Sciences. Institute for Advanced Study. Princeton NJ. Postdoctoral Member.

Awards

  • 2012 CAP Herzberg Medal.
  • 2009 Gribov Medal, European Physical Society (EPS)
  • Early Reseach Award of Ontario (ERA).

Recent Publications

  • F. Cachazo and D. Skinner, Gravity from Rational Curves, Phys. Rev. Lett. 110, 161301 (2013) [arXiv: 1207.0741 [hep-th]].
  • N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Local Integrals for Planar Scattering Amplitudes, JHEP 1206, 125 (2012), arXiv: 1012.6032 [hep-th].
  • N. Arkani-Hamed, J. Bourjaily, F. Cachazo, A. Hodges and J. Trnka, A Note on Polytopes for Scattering Amplitudes, JHEP 1204, 081 (2012) arXiv: 1012.6030 [hep-th].
  • N. Arkani-Hamed, J. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM, JHEP {\bf 1101}, 041 (2011). arXiv: 1008.2958 [hep-th]
  • N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Unification of Residues and Grassmannian Dualities, JHEP 1101, 049 (2011). arXiv: 0912.4912 [hep-th]
  • N. Arkani-Hamed, J. Bourjaily, F. Cachazo, J. Trnka, Local Spacetime Physics from the Grassmannian, JHEP 1101, 108 (2011). arXiv: 0912.3249 [hep-th]
  • N. Arkani-Hamed, J. Bourjaily, F. Cachazo, J. Trnka, Unification of Residues and Grassmannian Dualities, JHEP 1101 (2011) 049. arXiv: 0912.4912 [hep-th]
  • N. Arkani-Hamed, F. Cachazo and C. Cheung, The Grassmannian Origin Of Dual Superconformal Invariance, JHEP {\bf 1003}, 036 (2010). arXiv: 0909.0483 [hep-th]
  • N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A Duality For The S Matrix, JHEP 1003, 020 (2010). arXiv: 0907.5418 [hep-th].
  • N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-Matrix in Twistor Space, JHEP 1003, 110 (2010). arXiv: 0903.2110 [hep-th].
  • N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the Simplest Quantum Field Theory?, JHEP 1009, 016 (2010). arXiv: 0808.1446 [hep-th].
  • F. Cachazo, S. He and E. Y. Yuan, Scattering of Massless Particles in Arbitrary Dimension, arXiv: 1307.2199 [hep-th].
  • F. Cachazo, S. He and E. Y. Yuan, Scattering in Three Dimensions from Rational Maps, arXiv: 1306.2962 [hep-th].
  • F. Cachazo, S. He and E. Y. Yuan, Scattering Equations and KLT Orthogonality, arXiv: 1306.6575 [hep-th].
  • F. Cachazo, Resultants and Gravity Amplitudes, arXiv: 1301.3970 [hep-th].
  • N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. B. Goncharov, A. Postnikov and J. Trnka, Scattering Amplitudes and the Positive Grassmannian, arXiv: 1212.5605 [hep-th].
  • F. Cachazo, L. Mason and D. Skinner, Gravity in Twistor Space and its Grassmannian Formulation, arXiv: 1207.4712 [hep-th].
  • F. Cachazo, Fundamental BCJ Relation in N=4 SYM From The Connected Formulation, arXiv: 1206.5970 [hep-th].
  • F. Cachazo and Y. Geyer, A 'Twistor String' Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA, arXiv: 1206.6511 [hep-th].

Seminars

  • The Geometry of Scattering Amplitudes. BIRS. Banff. Calgary, Canada, August 2012.
  • 2012 CAP Congress. Canadian Association of Physicists (CAP) General Meeting. University of Calgary, Calgary, Canada, June 2012
  • STRINGS 2012, Munich, Germany, June 2012.
  • Amplitudes 2012, DESY, Hamburg, Germany, March 2012
  • Amplitudes 2011, University of Michigan, Michigan, USA, November 2011
  • Grassmannians and Scattering Amplitudes. Canadian Mathematical Society Meeting. Edmonton, Alberta, Canada. June 2011
  • Four Lectures on Scattering Amplitudes at Weak Coupling. Abdus Salam ICTP, Trieste, Italy. April 2011
  • Five Lectures on Introduction to Twistor Methods and the S-Matrix. String Theory Latin-American School. Sao Paolo, Brazil. December 2010.
  • PiTP. Aspects of Supersymmetry, Institute for Advanced Study, Princeton, New Jersey, USA, July 2010
  • XVIth European Workshop on String Theory, Spain, June 2010
  • Gribov-80 Memorial Symposium, Abdus Salam ICTP, Trieste, Italy, May 2010
  • Joint theory seminar, Harvard University, Cambridge, Massachusetts, USA, April 2010
  • APS ``April" Meeting, Washington, DC, USA, February 2010
  • The Simons Center for Geometry and Physics, New York, USA, February 2010
  • S-Matrix Theory. Abdus Salam ICTP. Trieste. Italy.
  • What is the simplest quantum field theory?. Strings 2008. CERN.
  • BIRS String Workshop, Banff, Alberta, Canada, February 2006
  • STRINGS 2005, University of Toronto, Canada, July 2005
  • CMS/CSHPM Summer 2005 Meeting, String Theory and Integrable Systems Session, University of Waterloo, Waterloo, Canada, June 2005
  • QCD and String Theory, KITP, Santa Barbara, USA, November 2004
  • 28th Johns Hopkins Workshop on Current Problems in Particle Theory: Hyperspace, Superspace, Theory Space and Outer Space, Baltimore, Maryland, USA, Jun 2004
  • PIRSA:12030003, String Theory (Review) - Lecture 14, 2012-03-02, 11/12 PSI - String Theory (Review)
  • PIRSA:12030002, String Theory (Review) - Lecture 13, 2012-03-01, 11/12 PSI - String Theory (Review)
  • PIRSA:12020063, String Theory (Review) - Lecture 12, 2012-02-29, 11/12 PSI - String Theory (Review)
  • PIRSA:12020062, String Theory (Review) - Lecture 11, 2012-02-28, 11/12 PSI - String Theory (Review)
  • PIRSA:12020061, String Theory (Review) - Lecture 10, 2012-02-27, 11/12 PSI - String Theory (Review)
  • PIRSA:12020058, String Theory (Review) - Lecture 9, 2012-02-24, 11/12 PSI - String Theory (Review)
  • PIRSA:12020057, String Theory (Review) - Lecture 8, 2012-02-23, 11/12 PSI - String Theory (Review)
  • PIRSA:12020056, String Theory (Review) - Lecture 7, 2012-02-22, 11/12 PSI - String Theory (Review)
  • PIRSA:12020055, String Theory (Review) - Lecture 6, 2012-02-21, 11/12 PSI - String Theory (Review)
  • PIRSA:12020051, String Theory (Review) - Lecture 5, 2012-02-17, 11/12 PSI - String Theory (Review)
  • PIRSA:12020050, String Theory (Review) - Lecture 4, 2012-02-16, 11/12 PSI - String Theory (Review)
  • PIRSA:12020049, String Theory (Review) - Lecture 3, 2012-02-15, 11/12 PSI - String Theory (Review)
  • PIRSA:12020048, String Theory (Review) - Lecture 2, 2012-02-14, 11/12 PSI - String Theory (Review)
  • PIRSA:12020047, String Theory (Review) - Lecture 1, 2012-02-13, 11/12 PSI - String Theory (Review)
  • PIRSA:11090120, Research Presentation - String Theory, 2011-09-16, String Seminars
  • PIRSA:11080125, Lie Groups & Lie Algebras - Lecture 5, 2011-08-26, 11/12 PSI - Orientation Weeks
  • PIRSA:11080124, Lie Groups & Lie Algebras - Lecture 4, 2011-08-25, 11/12 PSI - Orientation Weeks
  • PIRSA:11080123, Lie Groups & Lie Algebras - Lecture 3, 2011-08-24, 11/12 PSI - Orientation Weeks
  • PIRSA:11080122, Lie Groups & Lie Algebras - Lecture 2, 2011-08-23, 11/12 PSI - Orientation Weeks
  • PIRSA:11080121, Lie Groups & Lie Algebras - Lecture 1, 2011-08-22, 11/12 PSI - Orientation Weeks
  • PIRSA:11080037, Wrap-up Talk, 2011-08-06, Mathematica Summer School - 2011
  • PIRSA:11070093, Intro to Scattering Amplitudes, 2011-07-31, Mathematica Summer School - 2011
  • PIRSA:11030113, String Theory Review - Lecture 15, 2011-03-04, 10/11 PSI - String Theory (Review)
  • PIRSA:11030006, String Theory Review - Lecture 13, 2011-03-03, 10/11 PSI - String Theory (Review)
  • PIRSA:11030007, String Theory Review - Lecture 14, 2011-03-03, 10/11 PSI - String Theory (Review)
  • PIRSA:11030005, String Theory Review - Lecture 12, 2011-03-02, 10/11 PSI - String Theory (Review)
  • PIRSA:11030004, String Theory Review - Lecture 11, 2011-02-28, 10/11 PSI - String Theory (Review)
  • PIRSA:11020062, String Theory Review - Lecture 10, 2011-02-28, 10/11 PSI - String Theory (Review)
  • PIRSA:11020059, String Theory Review - Lecture 9, 2011-02-25, 10/11 PSI - String Theory (Review)
  • PIRSA:11020058, String Theory Review - Lecture 8, 2011-02-24, 10/11 PSI - String Theory (Review)
  • PIRSA:11020057, String Theory Review - Lecture 7, 2011-02-23, 10/11 PSI - String Theory (Review)
  • PIRSA:11020056, String Theory Review - Lecture 6, 2011-02-22, 10/11 PSI - String Theory (Review)
  • PIRSA:11020052, String Theory Review - Lecture 5, 2011-02-18, 10/11 PSI - String Theory (Review)
  • PIRSA:11020051, String Theory Review - Lecture 4, 2011-02-17, 10/11 PSI - String Theory (Review)
  • PIRSA:11020050, String Theory Review - Lecture 3, 2011-02-16, 10/11 PSI - String Theory (Review)
  • PIRSA:11020049, String Theory Review - Lecture 2, 2011-02-15, 10/11 PSI - String Theory (Review)
  • PIRSA:11020048, String Theory Review - Lecture 1, 2011-02-14, 10/11 PSI - String Theory (Review)
  • PIRSA:10080022, Space-time, Quantum Mechanics and Scattering Amplitudes, 2010-08-27, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080017, Space-time, Quantum Mechanics and Scattering Amplitudes - 5A, 2010-08-27, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080016, Space-time, Quantum Mechanics and Scattering Amplitudes, 2010-08-26, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080021, Space-time, Quantum Mechanics and Scattering Amplitudes, 2010-08-26, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080015, Space-time, Quantum Mechanics and Scattering Amplitudes - 3A, 2010-08-25, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080020, Space-time, Quantum Mechanics and Scattering Amplitudes - 3B, 2010-08-25, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080014, Space-time, Quantum Mechanics and Scattering Amplitudes - Lecture 2A, 2010-08-24, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080019, Space-time, Quantum Mechanics and Scattering Amplitudes - Lecture 2B, 2010-08-24, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080013, Space-time, Quantum Mechanics and Scattering Amplitudes - 1A, 2010-08-23, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10080018, Space-time, Quantum Mechanics and Scattering Amplitudes - 1B, 2010-08-23, Space-time, Quantum Mechanics and Scattering Amplitudes
  • PIRSA:10050042, What Do Grassmannians And Particle Colliders Have In Common?, 2010-05-09, Connections in Geometry and Physics 2010
  • PIRSA:10010093, String Theory - Review (PHYS 623) - Lecture 5, 2010-01-29, 09/10 PSI - String Theory (Review)
  • PIRSA:10010092, String Theory - Review (PHYS 623) - Lecture 4, 2010-01-28, 09/10 PSI - String Theory (Review)
  • PIRSA:10010091, String Theory - Review (PHYS 623) - Lecture 3, 2010-01-27, 09/10 PSI - String Theory (Review)
  • PIRSA:10010090, String Theory - Review (PHYS 623) - Lecture 2, 2010-01-26, 09/10 PSI - String Theory (Review)
  • PIRSA:10010089, String Theory - Review (PHYS 623) - Lecture 1, 2010-01-25, 09/10 PSI - String Theory (Review)
  • PIRSA:09010009, The S-matrix reloaded, 2009-01-21, Colloquium
  • PIRSA:05060092, Twistor String Theory and Perturbative Yang-Mills 3, 2005-06-25, Summer School: Strings, Gravity & Cosmology - 2005
  • PIRSA:05060074, Twistor String Theory and Perturbative Yang-Mills 2, 2005-06-21, Summer School: Strings, Gravity & Cosmology - 2005
  • PIRSA:05060072, Twistor String Theory and Perturbative Yang-Mills 1, 2005-06-20, Summer School: Strings, Gravity & Cosmology - 2005