On Multiple Instanton-antiinstanton Configurations

نویسنده

  • Meng-yuan Wang
چکیده

We show why and how the IĪ valley trajectory commonly used in the literature so far is in fact unsatisfactory. A better IĪ valley is suggested. We also give analytic expressions for the multiple instanton-antiinstanton configurations in the pure Yang-Mills theory. These formulas make it possible to go beyond the dilute gas approximation and calculate the multi-body interactions among instantons and antiinstantons.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Instanton – Antiinstanton interaction and asymptotics of perturbation theory expansion in double well oscillator

Instanton – antiinstanton pair is considered as a source of singularity at the Borel plane for the ground state energy of anharmonic oscillator. The problem of defining the short range instanton – antiinstanton interaction reduces to calculation of a smooth part of the Borel function, which cannot be found without explicit calculation of several terms of ordinary perturbation theory. On the oth...

متن کامل

Avalanche in the Valley (Fermions, Anomaly and Unitarity in High-Energy Electroweak Interactions)

Problems related to fermions, unitarity and chiral anomaly in high energy electroweak interactions, are investigated. Particular attention is paid to the correct functional integration over fermion fields in the background of instanton-antiinstanton type configurations. This leads to an expansion of correlation functions in terms of a small parameter, ρ/R, when the instanton-antiinstanton separ...

متن کامل

Fermions in Instanton-Anti-Instanton Background

We consider the behaviour of fermions in the background of instanton-antiinstanton type configurations. Several different physics problems, from the high energy electroweak interactions to the study of vacuum structure of QCD and of large orders of perturbation theory are related to this problem. The spectrum of the Dirac operator in such a background is studied in detail. We present an approxi...

متن کامل

Fermion Modes in Instanton-Anti-Instanton Background in (1+0)-dimensional Model

We evaluate the eigenvalues of Dirac operator in the background of instanton-antiinstanton configuration (I-̄I), in a simple (1+0)-dimensional model, and find that quasizero-mode disappears for the closely localized I-̄I configurations. This result suggests that the configurations which are dominant at high energy in the valley method are actually non-anomalous ones and irrelevant to fermion numb...

متن کامل

Instanton-anti-instanton pair-induced asymptotics of perturbation theory in QCD.

The instanton–antiinstanton pair induced asymptotics of perturbation theory expansion for QCD correlators is considered. It is argued that though the true asymptotics is dominated by renormalon, the instanton-induced contribution may dominate in the intermediate asymptotics n = 5÷ 15. Obtained asymptotic formulae are valid for Nf ≤ Nc. For Nf = Nc the finite nonperturbative expression for insta...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995