TY - JOUR
T1 - Weak interactions are weak at high energies
AU - Banks, Tom
AU - Farrar, Glennys
AU - Dine, Michael
AU - Karabali, Dimitra
AU - Sakita, Bunji
N1 - Funding Information:
We thank O. Lechtenfeld, M. Peskin, A. Schwimmer, and A. Vainshtein, as well as the participants in the Santa Fe Workshop on "Baryon Number Violation at the SSC", for useful conservations. The work of T. Banks was supported in part by DOE contract DE-FG05-90ER40559; that of G. Farrar by NSF Grant PHY-88-18535; that of M. Dine and D. Karabali by DOE contract DE-AC02-83ER40107; and that of B. Sakita by NSF Grant PHY8615338.
PY - 1990/12/31
Y1 - 1990/12/31
N2 - We use a Schrödinger picture version of the instanton calculus to analyze the suggestion that nonperturbative instanton effects, such as baryon number violation in the electroweak interaction, can become large in high-energy scattering. We confirm that the euclidean instanton results of Ringwald, Espinosa and others are correct, for models with instantons of definite size, at low energy, and present a physical explanation of the energy dependence of amplitudes found by these authors. However, we show that their dilute instanton gas approximation breaks down at higher energy. Our techniques permit us to extend the energy regine in which a reliable calculation can be done. We find that the basic e 1 α suppression of the total cross section for instanton-induced processes persists at all energies, even ∼M/α.
AB - We use a Schrödinger picture version of the instanton calculus to analyze the suggestion that nonperturbative instanton effects, such as baryon number violation in the electroweak interaction, can become large in high-energy scattering. We confirm that the euclidean instanton results of Ringwald, Espinosa and others are correct, for models with instantons of definite size, at low energy, and present a physical explanation of the energy dependence of amplitudes found by these authors. However, we show that their dilute instanton gas approximation breaks down at higher energy. Our techniques permit us to extend the energy regine in which a reliable calculation can be done. We find that the basic e 1 α suppression of the total cross section for instanton-induced processes persists at all energies, even ∼M/α.
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U2 - 10.1016/0550-3213(90)90376-O
DO - 10.1016/0550-3213(90)90376-O
M3 - Article
AN - SCOPUS:3042941819
SN - 0550-3213
VL - 347
SP - 581
EP - 595
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -