Investigation of possible observable e ects in a proposed theory of physics
Abstract
The work supported by this grant produced rigorous mathematical results on what is possible in quantum field theory. Quantum field theory is the wellestablished mathematical language for fundamental particle physics, for critical phenomena in condensed matter physics, and for Physical Mathematics (the numerous branches of Mathematics that have benefitted from ideas, constructions, and conjectures imported from Theoretical Physics). Proving rigorous constraints on what is possible in quantum field theories thus guides the field, puts actual constraints on what is physically possible in physical or mathematical systems described by quantum field theories, and saves the community the effort of trying to do what is proved impossible. Results were obtained in two dimensional qft (describing, e.g., quantum circuits) and in higher dimensional qft. Rigorous bounds were derived on basic quantities in 2d conformal field theories, i.e., in 2d critical phenomena. Conformal field theories are the basic objects in quantum field theory, the scale invariant theories describing renormalization group fixed points from which all qfts flow. The first known lower bounds on the 2d boundary entropy were found. This is the entropy information content in junctions in critical quantum circuits. For dimensions d > 2, a nogo theorem was proved on the possibilitiesmore »
 Authors:
 State Univ. of New Jersey, Piscataway, NJ (United States)
 Publication Date:
 Research Org.:
 State Univ. of New Jersey, Piscataway, NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1233852
 Report Number(s):
 DOERutgers7897
 DOE Contract Number:
 SC0007897
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Freidan, Daniel. Investigation of possible observable e ects in a proposed theory of physics. United States: N. p., 2015.
Web. doi:10.2172/1233852.
Freidan, Daniel. Investigation of possible observable e ects in a proposed theory of physics. United States. doi:10.2172/1233852.
Freidan, Daniel. 2015.
"Investigation of possible observable e ects in a proposed theory of physics". United States.
doi:10.2172/1233852. https://www.osti.gov/servlets/purl/1233852.
@article{osti_1233852,
title = {Investigation of possible observable e ects in a proposed theory of physics},
author = {Freidan, Daniel},
abstractNote = {The work supported by this grant produced rigorous mathematical results on what is possible in quantum field theory. Quantum field theory is the wellestablished mathematical language for fundamental particle physics, for critical phenomena in condensed matter physics, and for Physical Mathematics (the numerous branches of Mathematics that have benefitted from ideas, constructions, and conjectures imported from Theoretical Physics). Proving rigorous constraints on what is possible in quantum field theories thus guides the field, puts actual constraints on what is physically possible in physical or mathematical systems described by quantum field theories, and saves the community the effort of trying to do what is proved impossible. Results were obtained in two dimensional qft (describing, e.g., quantum circuits) and in higher dimensional qft. Rigorous bounds were derived on basic quantities in 2d conformal field theories, i.e., in 2d critical phenomena. Conformal field theories are the basic objects in quantum field theory, the scale invariant theories describing renormalization group fixed points from which all qfts flow. The first known lower bounds on the 2d boundary entropy were found. This is the entropy information content in junctions in critical quantum circuits. For dimensions d > 2, a nogo theorem was proved on the possibilities of Cauchy fields, which are the analogs of the holomorphic fields in d = 2 dimensions, which have had enormously useful applications in Physics and Mathematics over the last four decades. This closed o the possibility of finding analogously rich theories in dimensions above 2. The work of two postdoctoral research fellows was partially supported by this grant. Both have gone on to tenure track positions.},
doi = {10.2172/1233852},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2015,
month = 3
}

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