30 citations · 34 across the 8 of their papers we have counts for
10 papers
Gradient RG Flow in Scalar-Fermion QFTs
William H. Pannell, William Patrick Ronayne, Andreas Stergiou
The gradient property of the renormalisation group (RG) is examined to four-loop order in scalar-fermion systems in and dimensions. The crucial role played…
Novel Defect Universality Classes from Interacting RG Interfaces
Samuel Bartlett-Tisdall, Sabine Harribey, William Pannell
We search for new defect universality classes by considering localised interactions placed on an RG interface separating two interacting multiscalar CFTs in dimensi…
Magnetised Bounds for Conformal Field Theories
Christopher P. Herzog, William H. Pannell, Biswajit Sahoo +1
Aspects of parity-preserving, charge-conjugation-invariant, three-dimensional conformal field theories (CFTs) with a global symmetry in the presence of a background magnetic…
Gradient Flows and the Curvature of Theory Space
William H. Pannell, Andreas Stergiou
The metric and potential associated with the gradient property of renormalisation group flow in multiscalar models in dimensions are studied. The metric is identi…
A note on defect stability in
William H. Pannell
We explore the space of scalar line, surface and interface defect field theories in by examining their stability properties under generic deformations. Examples a…
Multiscalar Critical Models with Localised Cubic Interactions
Sabine Harribey, William H. Pannell, Andreas Stergiou
Interface localised interactions are studied for multiscalar universality classes accessible with the perturbative expansion in dimensions. The associ…
Gradient Properties of Perturbative Multiscalar RG Flows to Six Loops
William H. Pannell, Andreas Stergiou
The gradient property of the renormalisation group (RG) flow of multiscalar theories is examined perturbatively in and dimensions. Such theories undergo RG…
Scalar-Fermion Fixed Points in the Expansion
William H. Pannell, Andreas Stergiou
The one-loop beta functions for systems of scalars and fermions interacting via a general potential are analysed as tensorial equations in dimensions. T…
Line Defect RG Flows in the Expansion
William H. Pannell, Andreas Stergiou
A general analysis of line defect renormalisation group (RG) flows in the expansion below dimensions is undertaken. The defect beta function for general scalar-…
The Intersection between Dual Potential and SL(2) Algebraic Spectral Problems
William H. Pannell
The relation between certain Hamiltonians, known as dual, or partner Hamiltonians, under the transformation has long been used as a method of simpli…