Strong-coupling field theory. I. Variational approach toφ4theory

1976 ◽  
Vol 14 (2) ◽  
pp. 487-516 ◽  
Author(s):  
Sidney D. Drell ◽  
Marvin Weinstein ◽  
Shimon Yankielowicz
Keyword(s):  
Field Theory ◽  
Strong Coupling ◽  
Variational Approach ◽  
Coupling Field

scholarly journals A variational approach to second-order multisymplectic field theory

2000 ◽  
Vol 35 (4) ◽  
pp. 333-366 ◽  
Author(s):  
Shinar Kouranbaeva ◽  
Steve Shkoller
Keyword(s):  
Field Theory ◽  
Variational Approach ◽  
Second Order

scholarly journals Strong-coupling field theories. II. Fermions and gauge fields on a lattice

1976 ◽  
Vol 14 (6) ◽  
pp. 1627-1647 ◽  
Author(s):  
Sidney D. Drell ◽  
Marvin Weinstein ◽  
Shimon Yankielowicz
Keyword(s):  
Strong Coupling ◽  
Field Theories ◽  
Gauge Fields ◽  
Coupling Field

scholarly journals Quantum computation of scattering in scalar quantum field theories

2014 ◽  
Vol 14 (11&12) ◽  
pp. 1014-1080 ◽  
Author(s):  
Stephen P. Jordan ◽  
Keith S. M. Lee ◽  
John Preskill
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Strong Coupling ◽  
Interaction Strength ◽  
Quantum Algorithm ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Scalar Quantum ◽  
Relativistic Scattering ◽  
Fundamental Physical

Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great computational complexity and can generally be performed only when the interaction strength is weak. A full understanding of the foundations and rich consequences of quantum field theory remains an outstanding challenge. We develop a quantum algorithm to compute relativistic scattering amplitudes in massive $\phi^4$ theory in spacetime of four and fewer dimensions. The algorithm runs in a time that is polynomial in the number of particles, their energy, and the desired precision, and applies at both weak and strong coupling. Thus, it offers exponential speedup over existing classical methods at high precision or strong coupling.

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