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In this work we present the results of a numerical investigation of SU(2) gauge theory with N_f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two…

High Energy Physics - Lattice · Physics 2018-03-14 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

The unique off-shell fermionic gauge invariance of a vector-spinor field theory is found, and the invariant action is derived. The latter is Weyl invariant in any dimension in the massless limit, and it coincides with the singular point of…

High Energy Physics - Theory · Physics 2026-04-22 Dario Sauro

Slowly walking technicolor models provide a mechanism for electroweak symmetry breaking whose nonperturbative lattice investigation is rather challenging. Here we demonstrate walking near a conformal fixed point considering the 2-d lattice…

High Energy Physics - Lattice · Physics 2015-06-04 Philippe de Forcrand , Michele Pepe , Uwe-Jens Wiese

The electroweak gauge symmetry is allowed to be spontaneously broken by the strongly interacting vector-like gauge dynamics. When the gauge coupling of a theory runs slowly in a wide range of energy scale, the theory is a candidate for…

High Energy Physics - Lattice · Physics 2010-03-18 N. Yamada , M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle

We present a measurement of the Schr\"odinger Functional running coupling in SU(2) lattice gauge theory with adjoint fermions. We use HEX smearing and clover improvement to reduce the discretization effects. We obtain a robust continuum…

High Energy Physics - Lattice · Physics 2017-08-23 Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

The temporal and spatial components of the heavy-light vector current and the spatial components of the axial current are expressed in terms of lattice-regulated operators suitable for simulations of B and D mesons. The currents are…

High Energy Physics - Lattice · Physics 2009-10-31 Colin J. Morningstar , J. Shigemitsu

Extending previous work on this subject, we evaluate the impact of vector-like fermions at next-to-leading order accuracy in models with a massive vector leptoquark embedded in the $SU(4)\times SU(3)^\prime\times SU(2)_L\times U(1)_X$ gauge…

High Energy Physics - Phenomenology · Physics 2021-01-04 Javier Fuentes-Martin , Gino Isidori , Matthias König , Nudzeim Selimovic

Recent lattice studies of near-conformal strong dynamics suggest the existence of a light scalar. This provides motivation to consider a simple Hamiltonian-based bound-state model where the pseudoscalar, scalar, vector and axial-vector…

High Energy Physics - Phenomenology · Physics 2017-12-22 Bob Holdom , Roman Koniuk

Motivated by the exotic phenomenology of certain quantum materials and recent advances in programmable quantum emulators, we here study fermions and bosons in $\mathbb Z_N$ lattice gauge theories. We introduce a family of exactly soluble…

Strongly Correlated Electrons · Physics 2023-08-28 Kaustubh Roy , Elio J. König

We continue our lattice simulations of QCD with 2 flavours of colour-sextet quarks as a model for conformal or walking technicolor. A 2-loop perturbative calculation of the $\beta$-function which describes the evolution of this theory's…

High Energy Physics - Lattice · Physics 2013-05-29 J. B. Kogut , D. K. Sinclair

We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour ($N_{\mathrm{f}} =1$) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented by…

High Energy Physics - Lattice · Physics 2026-04-13 Andreas Athenodorou , Ed Bennett , Georg Bergner , Pietro Butti , Julian Lenz , Biagio Lucini

We have carried out a Schrodinger functional (SF) calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the…

High Energy Physics - Lattice · Physics 2008-11-26 Yigal Shamir , Benjamin Svetitsky , Thomas DeGrand

The simulation of real-time dynamics in lattice gauge theories is particularly hard for classical computing due to the exponential scaling of the required resources. On the other hand, quantum algorithms can potentially perform the same…

Quantum Physics · Physics 2020-11-11 Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli

We study the SU(2) gauge theory on the lattice with different numbers of fermions in the fundamental representation of the gauge group to explore the gauge theory phase diagram. We find evidence for an infrared fixed point for ten flavors.…

High Energy Physics - Lattice · Physics 2012-01-11 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

QCD is expected to have a rich phase structure. It is empirically known to be difficult to access low temperature and nonzero chemical potential $\mu$ regions in lattice QCD simulations. We address this issue in a lattice QCD with the use…

High Energy Physics - Lattice · Physics 2012-06-08 Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito

I perform an improved study of the $\beta$-function of $ SU(3) $ lattice gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation, which serves as a check to what extent the scenario in the previous…

High Energy Physics - Lattice · Physics 2019-01-23 Ting-Wai Chiu

We continue our earlier study of the phase structure of a SU(2) gauge theory whose action contains additional chirally invariant four fermion interactions. Our lattice theory uses a reduced staggered fermion formalism to generate two Dirac…

High Energy Physics - Lattice · Physics 2015-06-15 Simon Catterall , Aarti Veernala

We study the infrared properties of SU(3) gauge theory coupled to 12 massless Dirac fermions in the fundamental representation. The renormalized running coupling constant is calculated in the Twisted Polyakov loop scheme on the lattice.…

After some introductory comments on the peculiar features of slowly running theories, I will report results obtained using the Schrodinger functional technique for two gauge theories that are believed to lie near the bottom of the conformal…

High Energy Physics - Lattice · Physics 2013-10-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky
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