All known examples of four dimensional quantum field theories with asymptotic freedom or asymptotic safety at weak coupling involve non-abelian gauge interactions. We demonstrate that this is not a coincidence: no weakly coupled fixed points, ultraviolet or otherwise, can be reliably generated in theories lacking gauge interactions. Implications for particle physics, critical phenomena, and conformal field theory, are indicated
The discovery of asymptotic freedom has opened up the possibility of extracting new sorts of detaile...
We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by construct...
Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakl...
We study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian ...
We present the first numerical study of the ultraviolet dynamics of nonasymptotically free gauge-fer...
The renormalisation group is a crucial tool for understanding scale-dependent quantum field theories...
Quantum field theories are considered fundamental provided they remain well-defined and predictive u...
We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling...
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renor...
The behaviourr of quantum field theories at different energy scales is encoded by its renormalisatio...
We investigate the high temperature fate of four-dimensional gauge-Yukawa theories featuring short d...
Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyon...
We study the phase diagram and the stability of the ground state for certain four-dimensional gauge-...
Abstract: It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yuk...
We classify the weakly interacting fixed points of general gauge theories coupled to matter and expl...
The discovery of asymptotic freedom has opened up the possibility of extracting new sorts of detaile...
We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by construct...
Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakl...
We study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian ...
We present the first numerical study of the ultraviolet dynamics of nonasymptotically free gauge-fer...
The renormalisation group is a crucial tool for understanding scale-dependent quantum field theories...
Quantum field theories are considered fundamental provided they remain well-defined and predictive u...
We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling...
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renor...
The behaviourr of quantum field theories at different energy scales is encoded by its renormalisatio...
We investigate the high temperature fate of four-dimensional gauge-Yukawa theories featuring short d...
Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyon...
We study the phase diagram and the stability of the ground state for certain four-dimensional gauge-...
Abstract: It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yuk...
We classify the weakly interacting fixed points of general gauge theories coupled to matter and expl...
The discovery of asymptotic freedom has opened up the possibility of extracting new sorts of detaile...
We extend the list of theories featuring a rigorous interacting ultraviolet fixed point by construct...
Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakl...
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