72 citations · 137 across the 15 of their papers we have counts for
15 papers
Ginsparg-Wilson relation and lattice Weyl fermions
S. V. Zenkin
We demonstrate that in the topologically trivial gauge sector the Ginsparg-Wilson relation for lattice Dirac operators admits an exactly gauge invariant path integral formulation o…
Chiral structure of the solutions of the Ginsparg-Wilson relation
Ting-Wai Chiu, Chih-Wei Wang, Sergei V. Zenkin
We analyse the structure of solutions of the Ginsparg-Wilson relation for lattice Dirac operator in topologically trivial gauge sector. We show that the properties of such solution…
Solutions of the Ginsparg-Wilson Relation
Ting-Wai Chiu, Sergei V. Zenkin
We analyze general solutions of the Ginsparg-Wilson relation for lattice Dirac operators and formulate a necessary condition for such operators to have non-zero index in the topolo…
Extension of the Nielsen-Ninomiya theorem
S. V. Zenkin
The index theorem is employed to extend the no-go theorem for lattice chiral Dirac fermions to translation non-invariant and non-local formulations.
Lattice fermions with Majorana couplings
S. Aoki, K. Nagai, S. V. Zenkin
We analyse stability of almost massless Dirac mode in gauge models with boundary (domain wall) fermions, and consider the possibility of decoupling one of its chiral component by g…
Domain wall fermions with Majorana couplings
S. Aoki, K. Nagai, S. V. Zenkin
We examine the lattice boundary formulation of chiral fermions with either an explicit Majorana mass or a Higgs-Majorana coupling introduced on one of the boundaries. We demonstrat…
Simple ansatz for the lattice fermion determinant
Sergei V. Zenkin
An ansatz for the fermion vacuum functional on a lattice is proposed. It is proved to reproduce correct continuum limit for convergent diagrams of any finite order in smooth extern…
On behaviour of critical lines near ferrimagnetic phase in Higgs-Yukawa systems
Sergei V. Zenkin
We calculate within a mean-field approximation the slopes of the critical lines near the point of appearing the ferrimagnetic phase for the U(1) systems in the weak coupling regime…
Lattice fermions with gauge noninvariant measure
Sergei V. Zenkin
We define Weyl fermions on a finite lattice in such a way that in the path integral the action is gauge invariant but the functional measure is not. Two variants of such a formulat…
Which Higgs-Yukawa systems can possess non-trivial fixed points
Sergei V. Zenkin
We argue that non-trivial fixed points bordering on the paramagnetic and ferromagnetic phases are most likely to exist in the Higgs-Yukawa systems that have a connected domain with…
Phase structure of the Higgs-Yukawa systems with chirally invariant lattice fermion actions
S. Tominaga, S. V. Zenkin
We develop analytical technique for examining phase structure of , , and lattice Higgs-Yukawa systems with radially frozen Higgs fields and chirally invariant la…
Phase diagrams of a Higgs-Yukawa system with chirally invariant lattice fermion actions
Sergei V. Zenkin
We study the phase structure of a lattice Higgs-Yukawa system with different forms of chirally invariant lattice fermion actions: naive, two types of non-local actions, and a…
On a mean field approximation for Higgs-Yukawa systems
Sergei V. Zenkin
We discuss the phase structure of a lattice Higgs-Yukawa system in the variational mean field approximation with contributions of fermionic determinant being calculated in a ladder…
On reflection positive formulation of chiral gauge theories on a lattice
Sergei V. Zenkin
A formulation of chiral gauge theories on a lattice which is both reflection positive and gauge invariant is discussed.
Reflection positive formulation of chiral gauge theories on a lattice
Sergei V. Zenkin
Gauge invariant chiral theories satisfying the reflection positivity is constructed on a lattice. This requires the introduction of "half gauge fields" defined some time ago by Bry…