Howard Schnitzer

Edward & Gertrude Swartz Professor of Theoretical Physics, Emeritus

schnitzr@brandeis.edu
Abelson-Bass-Yalem Building, 349

Departments/Programs

Physics

Degrees

University of Rochester, Ph.D.
Newark College of Engineering, B.S.

Expertise

Elementary particle theory, Quantum theory of fields, String theory, Regge behavior of scattering amplitudes, Infra-red behavior of gauge and gravitational theories , Entanglement in quantum field theory , Topological field theory

Profile

I carry out research in quantum field theory, elementary particle physics, and string theory . Among my interests is the relationship of gauge theories to gravitational theories , as well as entanglement in quantum field theories.

Courses Taught

PHYS

161a

Electromagnetic Theory I

Awards and Honors

Edward and Gertrude Swarz Chair in Theoretical Physics (1991)

Guggenheim Foundation Fellowship (1983 - 1984)

Fellow, American Physical Society (1972)

Alfred P. Sloan Foundation Fellowship (1964 - 1966)

75th Anniversary Medal, ASME (1955)

Alumni Award , Newark College of Engineering (1955)

National Science Foundation Predoctoral Fellowship (1955 - 1960)

Scholarship

Schnitzer, Howard J. "Renyi Entropy for a 2d CFT with a gauge field : SU(N)_1 WZW theory on a branched torus , 15 pages." arXiv:1611.0311 ( hep-th) (2017)

Cesar Agon, Isaac Cohen-Abbo , and Howard J. Schnitzer. " Large distance expansion of Mutual Information for disjoint disks in free scalar theory ". arXiv: 1505.03757 , 15 pages: 2016.

Howard J. Schnitzer. " Left - Right Entanglement Entropy , D-Branes, and Level -rank duality ". arXiv :1505.07070, 18 pages: 2016.

Howard J. Schnitzer. "Renyi Entropy for the SU(N)_1 WZW model on the torus ". arXiv : 1510.05993 , 18 pages: 2016.

Cesar A. Agon and Howard J. Schnitzer. "Holographic Mutual information at small separations." arXiv: 1501. 03775 (2015): 14 pages.

Howard J. Schnitzer and Ida G. Zadeh. "The a-theorem for the four-dimensional gauged vector model." arXiv: 1405.0261 (2014): 18 pages.

Howard J. Schnitzer. "Mutual Renyi information for two disjoint compound systems." arXiv: 1406.1161 (2014): 11 pages.

Howard J. Schnitzer. "The a-theorem for the four-dimensional vector model." arXiv: 1405.7347 (2014): 9 pages.

S. Melville, S.G. Naculich , Howard J. Schnitzer, and C.D. White. "Wilson line approach to gravity in the high energy limit." Physical Review D 89, 025009 (2014) ; arXiv : 1306.6019 (33 pages ). (2014).

Lev Lipatov, Alexander Prygarin, and Howard J. Schnitzer. "The Multi-Regge limit of NMHV amplitudes in N=4 SYM theory." JHEP 01 (2013) 068, arXiv: 1205.0186 (29 pages). (2013)

Stephen G. Naculich, Horatiu Nastase, and Howard J. Schnitzer. "All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes." JHEP 04 (2013) 068. arXiv: 1301.2234 (23 pages) (2013)

Horatiu Nastase and Howard J. Schnitzer. "Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes." Nuclear Physics B 855:901 (2012) ; arXiv:1104.2752 ; ( 29 pages) (2012).

Stephen G. Naculich , Horatiu Nastase, and Howard J. Schnitzer. "Linear relations between N>= 4 Supergravity and Subleading-color amplitudes." JHEP 1201:041,2012 , arXiv: 1111.1675 , (21 pages) (2012).

Stanley Deser, Albion Lawrence, and Howard J. Schnitzer. "Disagreeing on Everything." Scientific American, April 2011 , pg. 8

Stepen G. Naculich and Howard J. Schnitzer. "One-loop SYM-supergravity relation for five-point amplitudes." JHEP 11112:001,2011 , arXiv:1108.6326 , (47 pages) (2011).

Stephen G. Naculich and Howard J. Schnitzer. "Eikonal Methods applied to gravitational scattering amplitudes." JHEP 1105:087 (2011) ; arXiv: 1101.1524 (16 pages) , (9 citations) (2011).

Stephen G. Naculich, Horatiu Nastase, and Howard J. Schnitzer. "Applications of Sub-leading-color Amplitudes in N=4 SYM Theory." Advances in High Energy Physics, 2011, article ID 190587 , arXiv:1105.3718 (39 pages) (2011).

Horatiu Nastase and Howard J. Schnitzer. "On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes." JHEP 1101:048,2011 ; arXiv: 1011.2487 (2010): (18 pages).

Johannes M. Henn, Stephen G. Naculich , Howard J. Schnitzer , and Marcus Spradlin. "Higgs-regulated three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits." JHEP 1004:038, (2010) ; arXiv: 1001.1358 (42 pages ) ( 43 citations) (2010).

Johannes M. Henn, Stephen G. Naculich, Howard J. Schnitzer, and Marcus Spradlin. "More loops and legs in Higgs-regulated N=4 SYM amplitudes." JHEP 1008.002 (2010) ; arXiv: 1004.5381 ( 34 pages), (31 citations) (2010).

Richard C. Brower, Horatio Nastase, Howard J. Schnitzer, and Chung-I Tan. "Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes." Nuclear Physics B 822 ,301(2009) ; arXiv:0809.1632 ( 46 pages) ( 23 citations) (2009)

Richard C. Brower, Horatiu Nastase, Howard J. Schnitzer, and Chung-I Tan. "Implications of multi-regge limits for the Bern-Dixon-Smirnov conjecture." Nuclear Physics B 814 ,293 (2009) ; arXiv:0801.3891 , (33 pages ) ( 37 citations) (2009)

Stephen G. Naculich and Howard J. Schnitzer. "IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory." JHEP 0910:048 (2009) ; arXiv:0907.1895 , ( 27 pages) ( 11 citations) (2009).

Schnitzer, Howard J. "Reggeization of N=8 Supergravity and N=4 Yang--Mills Theory; II." (2008): <arXiv:0706.0917 (13 pages, 11 citations)>.

Stephen G. Naculich, Horatiu Nastase, Howard J. Schnitzer. "Two-loop graviton scattering relation and IR behavior in N=8 supergravity." Nucl. Phys. B 805, 40 (2008) ; arXiv:0805.2347 ( 8 pages ) ( 20 citations) (2008).

Stephen G. Naculich, Horatiu Nastase, Howard J. Schnitzer. "Subleading-color contributions to gluon-gluon scattering in N=4 SYM Theory and relations to N=8 supergravity." JHEP 0811:018 (2008) (30 pages) ( 17 citations ); arXiv:0809.0376 (2008)

Stephen G. Naculich, Howard J. Schnitzer. "Regge behavior of gluon Scattering amplitudes in N=4 Super Yang--Mills theory." Nuclear Physics B 794, 189 (2008) , arXiv:0708.3069(7 pages), (32 citations ) (2008).

Schnitzer, Howard J. "Confinement/Deconfinement Transition of Large N Gauge Theories in Perturbation Theory with N_f Fundamentals: N_f/N Finite." (2007): <hep-th/0612099 ; 10 citations>.

Schnitzer, Howard J. "Reggeization of N=8 Supergravity and N=4 Yang--Mills Theory." (2007): <hep-th/0701217 ; 11 citations>.

Stephen G. Naculich, Howard J. Schnitzer. "Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2d qYM theory." JHEP 0706:023 (2007) (2007): <hep-th/0703089>.

Stephen G. Naculich, Howard J. Schnitzer. "Level-rank duality of untwisted and twisted D-branes." Nucl. Phys. B742. (2007): 295-311 <hep-th/0601175>.

Stephen G. Naculich, Howard J. Schnitzer. "Twisted D-branes of the SU(N)_K WZW model and level-rank duality." Nucl.Phys. B755. (2007): 164-185 <hep-th/0606147>.

Schnitzer, Howard J with M. Gomez-Reino and S. Naculich. "Improved matrix-model calculation of the N=2 prepotential." (2004).

Schnitzer, Howard J.. "Gauged vector models and higher-spin representation in Ads_5." Nucl. Phys. B695. (2004): 283.

Schnitzer,Howard J. "Confinement/deconfinement transition of large N gauge theories with N_f fundamentals: N_f/N finite." JHEP (2004).

Howard J. Schnitzer. "String Theory: a theory in search of an experiment." (arXiv) physics / 0311047 (2003).