Born-Oppenheimer Corrections to the Effective Zero-Mode Hamiltonian in SYM Theory | Zendy

Andrei Smilga | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Born-Oppenheimer Corrections to the Effective Zero-Mode Hamiltonian in SYM Theory

Author(s) -

Andrei Smilga

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/04/054

Subject(s) - hamiltonian (control theory) , mathematical physics , physics , abelian group , gauge theory , zero mode , gauge group , cartan subalgebra , supersymmetry , yang–mills theory , quantum electrodynamics , quantum mechanics , mathematics , lie algebra , pure mathematics , mathematical optimization , adjoint representation of a lie algebra , weight

We calculate the subleading terms in the Born--Oppenheimer expansion for theeffective zero-mode Hamiltonian of N = 1, d=4 supersymmetric Yang--Mills theorywith any gauge group. The Hamiltonian depends on 3r abelian gauge potentialsA_i, lying in the Cartan subalgebra, and their superpartners (r being the rankof the group). The Hamiltonian belongs to the class of N = 2 supersymmetric QMHamiltonia constructed earlier by Ivanov and I. Its bosonic part describes themotion over the 3r--dimensional manifold with a special metric. The correctionsexplode when the root forms \alpha_j(A_i) vanish and the Born--Oppenheimerapproximation breaks down.Comment: typos correcte

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research