527 citations · 6.4k across the 130 of their papers we have counts for
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Spontaneous breaking of the symmetry in the Gross-Neveu model
SangEun Han, Igor F. Herbut
The canonical Gross-Neveu model for two-component Dirac fermions in dimensions suffers a continuous phase transition at a critical interaction at large…
Hidden role of antiunitary operators in Fierz transformation
Igor F. Herbut
We show that whenever the symmetry group of a field theory commutes with one or more antiunitary operators , which do not have to but may represent the reversal of physical time…
Tensor model near six dimensions: fixed points and conformal windows from four loops
John A. Gracey, Igor F. Herbut, Dietrich Roscher
In search of non-trivial field theories in high dimensions, we study further the tensor representation of the -symmetric field theory introduced by Herbut and Janssen (…
Critical field theory near six dimensions beyond one loop
Dietrich Roscher, Igor F. Herbut
A tensorial representation of field theory introduced in Phys. Rev. D. 93, 085005 (2016) is studied close to six dimensions, with an eye towards a possible realization of an…
Four-loop critical exponents for the Gross-Neveu-Yukawa models
Nikolai Zerf, Luminita N. Mihaila, Peter Marquard +2
We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in dimensions and compute critical ex…
Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation
Igor F. Herbut
Spontaneous chiral symmetry breaking in three dimensional () quantum electrodynamics is understood as annihilation of an infrared-stable fixed point that describes the large-N…
Critical and theories near six dimensions
Igor F. Herbut, Lukas Janssen
We consider -symmetric bosonic field theories above four dimensions, and propose a new reformulation in terms of an irreducible tensorial field with a cubic and Yukawa…
Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions
Bitan Roy, Vladimir Juricic, Igor F. Herbut
We study the renormalization group flow of the velocities in the field theory describing the coupling of the massless quasi-relativistic fermions to the bosons through the Yukawa c…
Majorana mass, time reversal symmetry, and the dimension of space
Igor F. Herbut
The Weyl fermions with a well defined chirality are known to demand that the dimension of space which they inhabit must be odd. It is shown here, however, that not all odd dimensio…