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An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

高能物理 - 格点 · 物理学 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We study the 2-flavour lattice Schwinger model: QED in D=2 with two fermion species of identical mass. In the simulation we are using Wilson fermions where chiral symmetry is explicitly broken. Since there is no known simple order parameter…

高能物理 - 格点 · 物理学 2009-10-30 I. Hip , C. B. Lang , R. Teppner

The use of the equations of motion and meson field redefinitions allows the simplification of the subleading operators required in the one-loop resonance chiral theory calculation of the pi pi vector form-factor. The study of the…

高能物理 - 唯象学 · 物理学 2014-11-20 J. J. Sanz-Cillero

The interplay of mesonic fluctuations with an axial $U(1)_A$-symmetry breaking and resulting effects on the location of a possibly existing critical endpoint in the QCD phase diagram are investigated in a framework of the functional…

高能物理 - 唯象学 · 物理学 2013-12-16 Bernd-Jochen Schaefer , Mario Mitter

The nature of chiral phase transition of massless two flavor QCD depends on the fate of flavor singlet axial symmetry $U_A(1)$ at the critical temperature ($T_c$). Assuming that a finite $U_A(1)$ breaking remains at $T_c$, the corresponding…

高能物理 - 格点 · 物理学 2015-03-05 Tomomi Sato , Norikazu Yamada

We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed…

数学物理 · 物理学 2023-04-07 Tobias J. Osborne , Alexander Stottmeister

In view of its physical importance in predicting the order of chiral phase transitions in QCD and frustrated spin systems, we perform the conformal bootstrap program of $O(n)\times O(2)$-symmetric conformal field theories in $d=3$…

高能物理 - 理论 · 物理学 2015-06-22 Yu Nakayama , Tomoki Ohtsuki

We study the running of the coupling in SU(2) gauge theory with 8 massless fundamental representation fermion flavours, using the gradient flow method with the Schr\"odinger functional boundary conditions. Gradient flow allows us to measure…

We report new results on the conformal properties of an important strongly coupled gauge theory, a building block of composite Higgs models beyond the Standard Model. With twelve massless fermions in the fundamental representation of the…

高能物理 - 格点 · 物理学 2016-11-22 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

I review the Thirring model in 2+1$d$ dimensions, focussing in particular on possible strongly-interacting UV-stable fixed points of the renormalisation group, corresponding to a continuous phase transition where a U($2N$) global symmetry…

高能物理 - 格点 · 物理学 2021-05-21 Simon Hands

We extend the phase diagram of SU(N) gauge-fermion theories as function of number of flavours and colours to the region in which asymptotic freedom is lost. We argue, using large $N_f$ results, for the existence of an ultraviolet…

高能物理 - 唯象学 · 物理学 2018-06-13 Oleg Antipin , Francesco Sannino

In the study of critical phenomena of QCD, a linear sigma model (LSM) is often analyzed as it shares many properties with QCD. Motivated by recent arguments on effective restoration of the U_A(1) symmetry around the critical temperature,…

高能物理 - 格点 · 物理学 2013-11-22 Tomomi Sato , Norikazu Yamada

The spectrum of two-point functions in a holographic renormalization group flow from an ultraviolet (UV) to an infrared (IR) conformal fixed point is necessarily continuous. For a toy model, the spectral function does not only show the…

高能物理 - 理论 · 物理学 2009-01-30 Wolfgang Mueck

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model G and H, which are the conjectured dynamic universality classes of the two-flavor chiral…

高能物理 - 唯象学 · 物理学 2025-10-01 Yunxin Ye , Johannes V. Roth , Sören Schlichting , Lorenz von Smekal

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

高能物理 - 唯象学 · 物理学 2014-11-18 B. Stokic , B. Friman , K. Redlich

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the…

高能物理 - 格点 · 物理学 2018-06-20 Alessandro Amato , Viljami Leino , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

The dynamics with an infrared stable fixed point in the conformal window in QCD like theories with a relatively large number of fermion flavors is reviewed. The emphasis is on the description of a clear signature for the conformal window,…

高能物理 - 理论 · 物理学 2010-11-15 V. A. Miransky

We review some recent results concerning gauge theories in various dimensions. In particular, we discuss RG fixed points and ``mirror'' symmetry duality in 3d N=4 supersymmetric gauge theories and a classification of non-trivial RG fixed…

高能物理 - 理论 · 物理学 2008-02-03 Kenneth Intriligator

I discuss the infrared behavior of the SU(3) gauge model with 12 fundamental fermions. Using a Monte Carlo renormalization group technique I investigate the fixed point structure in the chiral limit and show that this system has an infrared…

高能物理 - 格点 · 物理学 2011-12-30 Anna Hasenfratz

Walking technicolor is a mechanism for electroweak symmetry breaking without Higgs field. The Higgs mechanism is provided by chiral symmetry breaking in the technicolor theory. An essential ingredient is the vicinity to an IR fixed point,…

高能物理 - 格点 · 物理学 2011-04-14 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago