Built on

J. Tokuda, Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
Original
1902
Earlier work this paper cites.
Q. Bi, C. Zhang, and S.-Y. Zhou, Positivity constraints on aQGC: carving out the physical parameter space
Original
1902
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, Shocks, Superconvergence, and a Stringy Equivalence Principle
Original
1904
Earlier work this paper cites.
G. N. Remmen and N. L. Rodd, Consistency of the Standard Model Effective Field Theory
Original
1908
Earlier work this paper cites.
M. B. Green and C. Wen, Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values
Original
1908
Earlier work this paper cites.
M. Gell-Mann, M. Goldberger, and W. E. Thirring, Use of causality conditions in quantum theory
1954
Earlier work this paper cites.
M. Froissart, Asymptotic behavior and subtractions in the Mandelstam representation
1961
Earlier work this paper cites.
D. Olive, Unitarity and evaluation of discontinuities
1962
Earlier work this paper cites.
J. Bros, H. Epstein, and V. J. Glaser, Some rigorous analyticity properties of the four-point function in momentum space
1964
Earlier work this paper cites.
S. Weinberg, Feynman Rules for Any Spin. 2. Massless Particles
1964
Earlier work this paper cites.
A. Martin, Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity. 1
1965
Earlier work this paper cites.
M. K. Gaillard and B. Zumino, Duality Rotations for Interacting Fields
1981
Earlier work this paper cites.
M. Ramana and A. J. Goldman, Some geometric results in semidefinite programming
1995
Earlier work this paper cites.
D. Avis, lrs: A Revised Implementation of the Reverse Search Vertex Enumeration Algorithm. In: Kalai G., Ziegler G.M. (eds) Polytopes — Combinatorics and Computation
2000
Earlier work this paper cites.
A. Falkowski and G. Isabella, Matter coupling in massive gravity
Original
2001
Earlier work this paper cites.
S. Alioli, R. Boughezal, E. Mereghetti, and F. Petriello, Novel angular dependence in Drell-Yan lepton production via dimension-8 operators
Original
2003
Earlier work this paper cites.
G. N. Remmen and N. L. Rodd, Flavor Constraints from Unitarity and Analyticity
Original
2004
Earlier work this paper cites.
Y.-J. Wang, F.-K. Guo, C. Zhang, and S.-Y. Zhou, Generalized positivity bounds on chiral perturbation theory
Original
2004
Earlier work this paper cites.
S. Andriolo, T.-C. Huang, T. Noumi, H. Ooguri, and G. Shiu, Duality and axionic weak gravity
Original
2004
Earlier work this paper cites.
C. Zhang and S.-Y. Zhou, A convex geometry perspective to the (SM)EFT space
Original
2005
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion
2006
Earlier work this paper cites.
C. Burgess, Introduction to Effective Field Theory
2007
Earlier work this paper cites.

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2020

Causality, Unitarity and Symmetry in Effective Field Theory

Trott, Timothy

Understand

Sum rules in effective field theories, predicated upon causality, place restrictions on scattering amplitudes mediated by effective contact interactions.

Through unitarity of the $S$-matrix, these imply that the size of higher dimensional corrections to transition amplitudes between different states is bounded by the strength of their contributions to elastic forward scattering processes.
This places fundamental limits on the extent to which hypothetical symmetries can be broken by effective interactions.
All analysis is for dimension $8$ operators in the forward limit.

Built on

J. Tokuda, Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
Original
1902
Earlier work this paper cites.
Q. Bi, C. Zhang, and S.-Y. Zhou, Positivity constraints on aQGC: carving out the physical parameter space
Original
1902
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, Shocks, Superconvergence, and a Stringy Equivalence Principle
Original
1904
Earlier work this paper cites.
G. N. Remmen and N. L. Rodd, Consistency of the Standard Model Effective Field Theory
Original
1908
Earlier work this paper cites.
M. B. Green and C. Wen, Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values
Original
1908
Earlier work this paper cites.
M. Gell-Mann, M. Goldberger, and W. E. Thirring, Use of causality conditions in quantum theory
1954
Earlier work this paper cites.
M. Froissart, Asymptotic behavior and subtractions in the Mandelstam representation
1961
Earlier work this paper cites.
D. Olive, Unitarity and evaluation of discontinuities
1962
Earlier work this paper cites.
J. Bros, H. Epstein, and V. J. Glaser, Some rigorous analyticity properties of the four-point function in momentum space
1964
Earlier work this paper cites.
S. Weinberg, Feynman Rules for Any Spin. 2. Massless Particles
1964
Earlier work this paper cites.
A. Martin, Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity. 1
1965
Earlier work this paper cites.
M. K. Gaillard and B. Zumino, Duality Rotations for Interacting Fields
1981
Earlier work this paper cites.
M. Ramana and A. J. Goldman, Some geometric results in semidefinite programming
1995
Earlier work this paper cites.
D. Avis, lrs: A Revised Implementation of the Reverse Search Vertex Enumeration Algorithm. In: Kalai G., Ziegler G.M. (eds) Polytopes — Combinatorics and Computation
2000
Earlier work this paper cites.
A. Falkowski and G. Isabella, Matter coupling in massive gravity
Original
2001
Earlier work this paper cites.
S. Alioli, R. Boughezal, E. Mereghetti, and F. Petriello, Novel angular dependence in Drell-Yan lepton production via dimension-8 operators
Original
2003
Earlier work this paper cites.
G. N. Remmen and N. L. Rodd, Flavor Constraints from Unitarity and Analyticity
Original
2004
Earlier work this paper cites.
Y.-J. Wang, F.-K. Guo, C. Zhang, and S.-Y. Zhou, Generalized positivity bounds on chiral perturbation theory
Original
2004
Earlier work this paper cites.
S. Andriolo, T.-C. Huang, T. Noumi, H. Ooguri, and G. Shiu, Duality and axionic weak gravity
Original
2004
Earlier work this paper cites.
C. Zhang and S.-Y. Zhou, A convex geometry perspective to the (SM)EFT space
Original
2005
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion
2006
Earlier work this paper cites.
C. Burgess, Introduction to Effective Field Theory
2007
Earlier work this paper cites.