Singular-perturbation—strong-coupling field theory and the moments problem

1981 ◽  
Vol 24 (2) ◽  
pp. 378-383 ◽  
Author(s):  
Carlos R. Handy
1976 ◽  
Vol 14 (2) ◽  
pp. 487-516 ◽  
Author(s):  
Sidney D. Drell ◽  
Marvin Weinstein ◽  
Shimon Yankielowicz

1976 ◽  
Vol 14 (6) ◽  
pp. 1627-1647 ◽  
Author(s):  
Sidney D. Drell ◽  
Marvin Weinstein ◽  
Shimon Yankielowicz

2014 ◽  
Vol 14 (11&12) ◽  
pp. 1014-1080 ◽  
Author(s):  
Stephen P. Jordan ◽  
Keith S. M. Lee ◽  
John Preskill

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.


2019 ◽  
Vol 99 (16) ◽  
Author(s):  
Junya Otsuki ◽  
Kazuyoshi Yoshimi ◽  
Hiroshi Shinaoka ◽  
Yusuke Nomura

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