Zvi Bern

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Zvi Bern
Zvi-Bern.jpg
Professor Zvi Bern at ICTP-SAIFR in Sao Paulo, Brazil
Born (1960-09-17) 17 September 1960 (age 63)
NationalityAmerican
Citizenship United States
Alma mater Massachusetts Institute of Technology (B.S.)
University of California, Berkeley (Ph.D.)
Known for Double copy theory, Generalized Unitarity Method, Scattering Amplitudes
AwardsFellow of the American Physical Society (2004)
Sakurai Prize (2014)
Galileo Galilei Medal (2023)
Scientific career
Fields Theoretical Physics, Quantum Field Theory, Supergravity, String Theory
Institutions Mani L. Bhaumik Institute for Theoretical Physics, UCLA
University of California, Los Angeles
Doctoral advisor Martin B. Halpern

Zvi Bern (born 17 September 1960) is an American theoretical particle physicist. He is a professor at University of California, Los Angeles (UCLA).

Contents

Bern studied physics and mathematics at the Massachusetts Institute of Technology and earned his doctorate in 1986 in theoretical physics from the University of California, Berkeley under the supervision of Martin Halpern. [1] [2] Bern's dissertation manuscript can currently be found in Lawrence Berkeley Laboratory's archives, examining "possible nonperturbative continuum regularization schemes for quantum field theory which are based upon the Langevin equation of Parisi and Wu." [3]

Bern developed new methods for the computation of Feynman diagrams that were originally introduced in quantum electrodynamics for the perturbative computation of scattering amplitudes. In more complicated quantum field theories such as Yang–Mills theory or quantum field theories with gravity, the computer calculation of the perturbative evolution using Feynman diagrams quickly reached its limits due to the exponential growth in diagrams. The new theoretical developments of the 1990s and 2000s came in time for a renewed interest in extensive calculations in the context of the experiments at the Large Hadron Collider. Bern and colleagues developed twistor-space methods applied to gauge-theory amplitudes. [4] Bern and colleagues developed the method of "generalized unitarity as a means for obtaining loop amplitudes from on-shell tree amplitudes". [5] The method of generalized unitarity provided new insights into the perturbative treatment of N = 8 supergravity and showed that there is a smaller degree of divergence than expected; higher-loop evidence suggested that "N = 8 supergravity has the same degree of divergence as N = 4 super-Yang–Mills theory and is ultraviolet finite in four dimensions". [6] Prior to this, it had been generally assumed that quantum gravitation from three loops resulted in uncontrollable divergences. In 2010, with his students Carrasco and Johansson, Bern found that diagrams for supersymmetric gravitational theories are equivalent to those of two copies of supersymmetric Yang–Mills theories (theories with gluons), which is known as double copy theory. They used a previously found duality between kinematics and color degrees of freedom. Instead of previously around terms, only 10 terms had to be evaluated in 3 loops, and correspondingly in 4 loops around 100 terms versus terms, and in 5 loops around 1000 terms versus terms; furthermore, there were no uncontrollable divergences in three and four loops — such uncontrollable divergences were predicted by the majority of experts in the 1980s and constituted one of the reasons for favoring string theory.

Bern was elected in 2004 a fellow of the American Physical Society. [7] In 2014, he received the Sakurai Prize with David A. Kosower and Lance J. Dixon for "pathbreaking contributions to the calculation of perturbative scattering amplitudes, which led to a deeper understanding of quantum field theory and to powerful new tools for computing QCD processes." [8] In 2023, Bern and his collaborators David A Kosower and Lance J Dixon were awarded Galileo Galilei Medal from Italy’s Instituto Nazionale di Fisica. [9]

Bern's Erdős number is three. [10] Currently, Bern is the director of the Mani Lal Bhaumik Institute for Theoretical Physics at UCLA, which aims to "provide an exceptional environment for excellence in theoretical physics research". [11]

He was elected a Member of the National Academy of Sciences in 2024. [12]

Selected publications

Related Research Articles

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<span class="mw-page-title-main">Quantum chromodynamics</span> Theory of the strong nuclear interactions

In theoretical physics, quantum chromodynamics (QCD) is the study of the strong interaction between quarks mediated by gluons. Quarks are fundamental particles that make up composite hadrons such as the proton, neutron and pion. QCD is a type of quantum field theory called a non-abelian gauge theory, with symmetry group SU(3). The QCD analog of electric charge is a property called color. Gluons are the force carriers of the theory, just as photons are for the electromagnetic force in quantum electrodynamics. The theory is an important part of the Standard Model of particle physics. A large body of experimental evidence for QCD has been gathered over the years.

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<span class="mw-page-title-main">MHV amplitudes</span> Maximally helicity violating amplitudes

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<span class="mw-page-title-main">Light front holography</span> Technique used to determine mass of hadrons

In strong interaction physics, light front holography or light front holographic QCD is an approximate version of the theory of quantum chromodynamics (QCD) which results from mapping the gauge theory of QCD to a higher-dimensional anti-de Sitter space (AdS) inspired by the AdS/CFT correspondence proposed for string theory. This procedure makes it possible to find analytic solutions in situations where strong coupling occurs, improving predictions of the masses of hadrons and their internal structure revealed by high-energy accelerator experiments. The most widely used approach to finding approximate solutions to the QCD equations, lattice QCD, has had many successful applications; however, it is a numerical approach formulated in Euclidean space rather than physical Minkowski space-time.

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<span class="mw-page-title-main">Amplituhedron</span> Geometric structure used in certain particle interactions

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<span class="mw-page-title-main">Light-front quantization applications</span> Quantization procedure in quantum field theory

The light-front quantization of quantum field theories provides a useful alternative to ordinary equal-time quantization. In particular, it can lead to a relativistic description of bound systems in terms of quantum-mechanical wave functions. The quantization is based on the choice of light-front coordinates, where plays the role of time and the corresponding spatial coordinate is . Here, is the ordinary time, is a Cartesian coordinate, and is the speed of light. The other two Cartesian coordinates, and , are untouched and often called transverse or perpendicular, denoted by symbols of the type . The choice of the frame of reference where the time and -axis are defined can be left unspecified in an exactly soluble relativistic theory, but in practical calculations some choices may be more suitable than others. The basic formalism is discussed elsewhere.

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Double copy theory is a theory in theoretical physics, specifically in quantum gravity, that hypothesizes a perturbative duality between gauge theory and gravity. The theory says that scattering amplitudes in non-Abelian gauge theories can be factorized such that replacement of the color factor by additional kinematic dependence factor, in a well-defined way, automatically leads to gravity scattering amplitudes. It was first written down by Zvi Bern, John Joseph Carrasco and Henrik Johansson in 2010 and was sometimes known as the BCJ duality after its creators or as "gravity = gauge × gauge".

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References

  1. Zvi Bern at the Mathematics Genealogy Project
  2. Smith, Ella (28 February 2018). "Renowned UC Berkeley physics professor emeritus Martin Halpern dies at 79". The Daily Californian, UC Berkeley newspaper.
  3. "CONTINUUM REGULARIZATION OF QUANTUM FIELD THEORY" (PDF). Lawrence Berkeley Laboratory Archives.
  4. Bena, Iosif; Bern, Zvi; Kosower, David A. (2005). "Twistor-space recursive formulation of gauge-theory amplitudes". Phys. Rev. D. 71 (4): 045008. arXiv: hep-th/0406133 . Bibcode:2005PhRvD..71d5008B. doi:10.1103/PhysRevD.71.045008. S2CID   119401595.
  5. Bern, Zvi; Huang, Yu-tin (2011). "Basis of generalized unitarity". Journal of Physics A: Mathematical and Theoretical. 44 (45): 454003. arXiv: 1103.1869 . Bibcode:2011JPhA...44S4003B. doi:10.1088/1751-8113/44/45/454003. S2CID   119231853.
  6. Bern, Zvi; Dixon, Lance J.; Roiban, Radu (2007). "Is N = 8 Supergravity Ultraviolet Finite?". Physics Letters B. 644 (4): 265–271. arXiv: hep-th/0611086 . Bibcode:2007PhLB..644..265B. doi:10.1016/j.physletb.2006.11.030. S2CID   119532539. arXiv preprint
  7. "APS Fellow Archive". American Physical Society. (search on year=2004 and institution=University of California, Los Angeles)
  8. "2014 J.J. Sakurai Prize for Theoretical Particle Physics Recipient, Zvi Bern". American Physical Society website.
  9. "Zvi Bern receives Galileo Galilei Medal".
  10. "Zvi Bern, UCLA Physics and Astronomy".
  11. "UCLA Mani L. Bhaumik Institute".
  12. https://www.nasonline.org/news-and-multimedia/news/2024-nas-election.html