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This work continues and substantially extends our recent work on switching diffusions with the switching processes that depend on the past states and that take values in a countable state space. That is, the discrete components of the…

Probability · Mathematics 2017-10-10 Dang H. Nguyen , George Yin

New techniques based on weak measurements have recently been introduced to the field of quantum state reconstruction. Some of them allow the direct measurement of each matrix element of an unknown density operator and need only $O(d)$…

Quantum Physics · Physics 2019-01-31 Luca Calderaro , Giulio Foletto , Daniele Dequal , Paolo Villoresi , Giuseppe Vallone

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

We propose a model independent approach for the analysis of interference effects in the process of QCD pair production of new heavy quarks of different species that decay into Standard Model particles, including decays via flavour changing…

High Energy Physics - Phenomenology · Physics 2015-06-17 Daniele Barducci , Alexander Belyaev , Jacob Blamey , Stefano Moretti , Luca Panizzi , Hugo Prager

We establish an intriguing connection between geometry and thermodynamics in the critical q-state Potts model on two-dimensional lattices, using the q-state bond-correlated percolation model (QBCPM) representation. We find that the number…

Statistical Mechanics · Physics 2009-10-31 Chin-Kun Hu , Jau-Ann Chen , N. Sh. Izmailian , P. Kleban

We provide evidence that it is computationally difficult to approximate the partition function of the ferromagnetic q-state Potts model when q>2. Specifically we show that the partition function is hard for the complexity class #RHPi_1…

Computational Complexity · Computer Science 2012-11-13 Leslie Ann Goldberg , Mark Jerrum

We explore the possibility of putting constraints on quintessence models with large-scale structure observations. In particular we compute the linear and second order growth rate of the fluctuations in different flavors of quintessence…

Astrophysics · Physics 2009-11-06 K. Benabed , F. Bernardeau

We perform a Random Matrix Theory (RMT) analysis of the quantum four-state chiral Potts chain for different sizes of the chain up to size L=8. Our analysis gives clear evidence of a Gaussian Orthogonal Ensemble statistics, suggesting the…

Statistical Mechanics · Physics 2008-11-26 J. -Ch. Angles d'Auriac , J. -M. Maillard , C. M. Viallet

It has been proposed that the ability to perform joint weak measurements on post-selected systems would allow us to study quantum paradoxes. These measurements can investigate the history of those particles that contribute to the…

Quantum Physics · Physics 2009-02-23 J. S. Lundeen , A. M. Steinberg

We derive a factorization theorem for the structure-dependent QED effects in the weak exclusive process $B^-\to\ell^-\bar\nu_\ell$, i.e., effects probing the internal structure of the $B$ meson. The derivation requires a careful treatment…

High Energy Physics - Phenomenology · Physics 2026-01-23 Claudia Cornella , Matthias König , Matthias Neubert

We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional $\Phi^3$ gravity graphs to study the effect of quenched connectivity disorder on the phase transition, which is strongly first order on…

High Energy Physics - Lattice · Physics 2009-10-28 C. F. Baillie , W. Janke , D. A. Johnston

Quantum correlation cost (QCC) characterizing how much quantum correlation is used in a weak-measurement process is presented based on the trace norm. It is shown that the QCC is related to the trace-norm-based quantum discord (TQD) by only…

Quantum Physics · Physics 2014-12-01 Jun Zhang , Shao-xiong Wu , Chang-shui Yu

The semi-inclusive decay processes of a top quark into a charged pseudo-scalar meson and a jet are studied within the framework of QCD factorization. The leading power of the decay matrix elements can be factorized into heavy-to-light quark…

High Energy Physics - Phenomenology · Physics 2025-04-02 Long-Shun Lu , Lei-Yi Li , Cai-Dian Lü

The transfer-matrix of the U(1) lattice model is considered in the Fourier basis and in the weak coupling limit. The issues of Gauss law constraint and gauge invariant states are addressed in the Fourier basis. In particular, it is shown…

High Energy Physics - Lattice · Physics 2022-10-18 Afsaneh Kianfar , Amir H. Fatollahi

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We use currently available data of nonleptonic charmless 2-body $B\to MM$ decays ($MM = PP, PV, VV$) that are mediated by $b\to (d, s)$ QCD- and QED-penguin operators to study weak annihilation and new-physics effects in the framework of…

High Energy Physics - Phenomenology · Physics 2014-09-12 Christoph Bobeth , Martin Gorbahn , Stefan Vickers

We study the geometric properties of polymixtures after a sudden quench in temperature. We mimic these systems with the $q$-states Potts model on a square lattice with and without weak quenched disorder, and their evolution with Monte Carlo…

Statistical Mechanics · Physics 2010-03-01 Marcos P. O. Loureiro , Jeferson J. Arenzon , Leticia F. Cugliandolo , Alberto Sicilia

We study the effect of varying strength, $\delta$, of bond randomness on the phase transition of the three-dimensional Potts model for large $q$. The cooperative behavior of the system is determined by large correlated domains in which the…

Statistical Mechanics · Physics 2010-08-09 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

The mass of the bottom quark is analyzed in the context of QCD finite energy sum rules. In contrast to the conventional approach, we use a large momentum expansion of the QCD correlator including terms to order \alpha…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bordes , J. Penarrocha , K. Schilcher

We consider the q=4 Potts model on the square lattice with an additional hard-core nonlocal interaction. That interaction arises from the choice of the reference measure taken to be the uniform measure on the recurrent configurations for…

Statistical Mechanics · Physics 2015-05-26 E. Dinaburg , C. Maes , S. Pirogov , F. Redig , A. Rybko