28 citations · 153 across the 18 of their papers we have counts for
19 papers
Asymptotically free solutions of the scalar flow equations
Christoph Kopper
We analyse solutions of the flow equations of the renormalisation group for the n-point Schwinger functions of scalar field theory in four-dimensional Euclidean space with nonpolyn…
Triviality vs perturbation theory: an analysis for mean-field -theory in four dimensions
Christoph Kopper, Pierre Wang
We have constructed the mean-field trivial solution of the theory model in four dimensions in two previous papers using the flow equations of the renormalization group…
Triviality proof for mean-field -theories
Pierre Wang, Christoph Kopper
The differential equations of the Wilson renormalization group are a powerful tool to study the Schwinger functions of Euclidean quantum field theory. In particular renormalization…
The Surface counter-terms of the theory on the half space
Majdouline Borji, Christoph Kopper
In a previous work, we established perturbative renormalizability to all orders of the massive -theory on a half-space also called the semi-infinite massive -theory.…
Perturbative renormalization of theory on the half space with flow equations
Majdouline Borji, Christoph Kopper
In this paper, we give a rigorous proof of the renormalizability of the massive theory on a half-space, using the renormalization group flow equations. We find that five co…
Perturbative renormalization of the lattice regularized with flow equations
Majdouline Borji, Christoph Kopper
The flow equations of the renormalization group allow to analyse the perturbative -point functions of renormalizable quantum filed theories. Rigorous bounds implying renormaliza…
Mean field flow equations and asymptotically free scalar fields
Christoph Kopper
The flow equations of the renormalisation group permit to analyse the perturbative -point functions of renormalisable quantum field theories. Rigorous bounds implying renormalis…
Renormalization of SU(2) Yang-Mills theory with Flow Equations
Alexander N. Efremov, Riccardo Guida, Christoph Kopper
We give a proof of perturbative renormalizability of SU(2) Yang--Mills theory in four-dimensional Euclidean space which is based on the Flow Equations of the renormalization group.…
The operator product expansion converges in massless -theory
Jan Holland, Stefan Hollands, Christoph Kopper
It has been shown recently that the mathematical status of the operator product expansion (OPE) is better than was expected before: namely considering massive Euclidean -theor…
Regularized path integrals and anomalies -- U(1) chiral gauge theory
Christoph Kopper, Benjamin Lévêque
We analyse the origin of the Adler anomaly of chiral U(1) gauge theory within the framework of regularized path integrals. Momentum or position space regulators allow for mathemati…
The operator product expansion converges in perturbative field theory
Stefan Hollands, Christoph Kopper
We show, within the framework of the Euclidean -quantum field theory in four dimensions, that the Wilson operator product expansion (OPE) is not only an asymptotic expansion a…
Renormalization of Spontaneaously Broken SU(2) Yang-Mills Theory with Flow Equations
Christoph Kopper, Volkhard F. Müller
We present a renormalizability proof for spontaneously broken SU(2) gauge theory based on Flow Equations. It is a conceptually and technically simplified version of the earlier pap…
On the local Borel transform of Perturbation Theory
Christoph Kopper
We prove existence of the local Borel transform for the perturbative series of massive $\vp_4^4$-theory. As compared to previous proofs in the literature, the present bounds are mu…
Large Momentum bounds from Flow Equations
Christoph Kopper, Frederic Meunier
We analyse the large momentum behaviour of 4-dimensional massive euclidean Phi-4-theory using the flow equations of Wilson's renormalization group. The flow equations give access t…
Irrelevant Interactions without Composite Operators - A Remark on the Universality of Second Order Phase Transitions
Christoph Kopper, Walter Pedra
We study the critical behaviour of symmetric theory including irrelevant terms of the form in the bare action, where is the UV cutoff (correspondi…
Singularity Cancellation in Fermion Loops through Ward Identities
C. Kopper, J. Magnen
Recently Neumayr and Metzner have shown that the connected N-point density- correlation functions of the two-dimensional and the one-dimensional Fermi gas at one-loop order generic…
Temperature Independent Renormalization of Finite Temperature Field Theory
Christoph Kopper, Volkhard F. Müller, Thomas Reisz
We analyse 4-dimensional massive $\vp^4$ theory at finite temperature T in the imaginary-time formalism. We present a rigorous proof that this quantum field theory is renormalizabl…
Mass Generation in the Large N nonlinear sigma-Model
Ch. Kopper
We study the infrared behaviour of the two-dimensional Euclidean O(N) nonlinear sigma-Model with a suitable ultraviolet cutoff. It is proven that for a sufficiently large (but fini…
Renormalization Proof for Spontaneously broken Yang-Mills Theory with Flow Equations
Ch. Kopper, V. F. Mueller
The proof given in the paper was incomplete due to an omission in the proof of Lemma 2. A corrected and improved version of the paper is in arXiv:0902.2486.