Polchinski equation, reparameterization invariance and the derivative expansion
نویسنده
چکیده
The connection between the anomalous dimension and some invariance properties of the fixed point actions within exact RG is explored. As an application, Polchinski equation at next-to-leading order in the derivative expansion is studied. For the Wilson fixed point of the one-component scalar theory in three dimensions we obtain the critical exponents η = 0.042, ν = 0.622 and ω = 0.689. UB-ECM-PF 97/05 ∗Work supported by grants AEN95-0590 (CICYT) and GRQ93-1047 (CIRIT).
منابع مشابه
O(n ) Wilson-polchinski Exact Renormalization Group Equation: Leading and Next-to-leading Orders in the Derivative Expansion. †
With a view to study the convergence properties of the derivative expansion of the exact renormalization group (RG) equation, I explicitly study the leading and next-to-leading orders of this expansion applied to the Wilson-Polchinski equation in the case of the N-vector model with the symmetry O (N). As a test, the critical exponents η and ν as well as the subcritical exponent ω (and higher on...
متن کاملWilson-Polchinski exact renormalization group equation for O(N) systems: Leading and next-to-leading orders in the derivative expansion.†
With a view to study the convergence properties of the derivative expansion of the exact renormalization group (RG) equation, I explicitly study the leading and next-to-leading orders of this expansion applied to the Wilson-Polchinski equation in the case of the N -vector model with the symmetry O (N). As a test, the critical exponents η and ν as well as the subcritical exponent ω (and higher o...
متن کاملThe Wilson-Polchinski exact renormalization group equation
The critical exponent η is not well accounted for in the Polchinski exact formulation of the renormalization group (RG). With a particular emphasis laid on the introduction of the critical exponent η, I re-establish (after Golner, hep-th/9801124) the explicit relation between the early Wilson exact RG equation, constructed with the incomplete integration as cutoff procedure, and the formulation...
متن کاملPolchinski Erg Equation in O(n ) Scalar Field Theory
Over the years the exact renormalization group (ERG) 1,2,3,4 has grown to become a reliable and accurate framework in the study of non-perturbative phenomena in quantum field theory (see reviews for example in ). In this context the Polchinski ERG approach and the derivative expansion 4,9,10,11 are specially attractive for their power and simplicity. These qualities are well in evidence in the ...
متن کاملConvergence of derivative expansions of the renormalization group
We investigate the convergence of the derivative expansion of the exact renormalization group, by using it to compute the β function of scalar λφ theory. We show that the derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. The derivative expansion of the Legendre flow equation trivially converges at one loop, but also at two loops:...
متن کاملذخیره 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 1997