A Note On Relation Between Holographic RG Equation And Polchinski’s RG Equation

نویسنده

  • Miao Li
چکیده

We clarify the relation between the recently formulated holographic renormalization group equation and Polchinski's exact renormalization group equation.

برای دانلود رایگان 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

A Field-theoretical Interpretation of the Holographic Renormalization Group

A quantum-field theoretical interpretation is given to the holographic RG equation by relating it to a field-theoretical local RG equation which determines how Weyl invariance is broken in a quantized field theory. Using this approach we determine the relation between the holographic C theorem and the C theorem in two-dimensional quantum field theory which relies on the Zamolodchikov metric. Si...

متن کامل

Two-loop β-function from the exact renormalization group

We calculate the two-loop renormalization group (RG) β-function of a massless scalar field theory from the irreducible version of Polchinski’s exact RG flow equation. To obtain the correct two-loop result within this method, it is necessary to take the full momentum-dependence of the irreducible four-point vertex and the six-point vertex into account. Although the same calculation within the or...

متن کامل

Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes

The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation of an exact RG equation which is analogous to the Wilsonian RG equations in statistical physics and quantum field theory. It is clarified that the perturbative RG method constructs invariant manifolds successively as ...

متن کامل

Consistency Conditions for Holographic Duality

We show that if the beta functions of a field theory are given by the gradient of a certain potential on the space of couplings, a gravitational background in one more dimension can express the renormalization group (RG) flow of the theory. The field theory beta functions and the gradient flow constraint together reconstruct the second order spacetime equations of motion. The RG equation reduce...

متن کامل

Holographic Duality, Supersymmetry, and Painlevé Equation

A new holographic duality between four-dimensional gravity and two-dimensional quantum field theories is found. The constraints on the target space geometry of the four-dimensional N=2 supersymmetric non-linear sigma-models in N=2 supergravity background are interpreted as the Renormalization Group (RG) flow equations in the two-dimensional N=2 supersymmetric quantum field theories. Our geometr...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000