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Beta function for anisotropic current interactions in 2D.

B Gerganov1, A LeClair, M Moriconi

  • 1Newman Laboratory, Cornell University, Ithaca, New York 14853.

Physical Review Letters
|June 1, 2001
PubMed
Summary
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This study uses current-algebra Ward identities to investigate the renormalization of anisotropic current-current interactions in 2D. A compact expression for the all-orders beta function is proposed.

Area of Science:

  • Quantum Field Theory
  • Condensed Matter Physics

Background:

  • Renormalization is crucial for understanding quantum field theories.
  • Anisotropic interactions present unique challenges in theoretical physics.

Purpose of the Study:

  • To study the renormalization of general anisotropic current-current interactions in 2 dimensions.
  • To develop a compact expression for the beta function applicable to all orders.

Main Methods:

  • Utilizing current-algebra Ward identities.
  • Applying established renormalization group techniques.

Main Results:

  • A novel prescription for renormalization is presented.
  • A compact, all-orders expression for the beta function is derived.

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Conclusions:

  • The proposed method offers a simplified approach to renormalization in 2D.
  • The derived beta function provides insights into the behavior of anisotropic interactions.