Communications in Mathematical Physics (COMMUN MATH PHYS)
Journal description
Subjects: Quantum physics and differential geometry; Flow equations, nonlinear PDE of mathematical physics; String theory, nonperturbative field theory and related topics; Field theory, mechanics and condensed matter; nonequilibrium and dynamical systems; General relativity, mathematical aspects of M/string theory, applications of differential geometry to physics; Field theory, constructive methods; statistical mechanics; Algebraic quantum field theory and related issues of operator algebras; Turbulence, disordered systems, and rigorous studies of field theory; Nonequilibrium statistical mechanics; Algebraic geometry in physics, mathematical aspects of string theory; Quantum information theory; Quantum chaos; Schrödinger operators and atomic physics; Statistical physics; Classical and quantum integrable systems, conformal field theory and related topics; Quantum dynamics and nonequilibrium statistical mechanics.
Current impact factor: 2.09
Impact Factor Rankings
2016 Impact Factor  Available summer 2017 

2014 / 2015 Impact Factor  2.086 
2013 Impact Factor  1.901 
2012 Impact Factor  1.971 
2011 Impact Factor  1.941 
2010 Impact Factor  2 
2009 Impact Factor  2.067 
2008 Impact Factor  2.075 
2007 Impact Factor  2.07 
2006 Impact Factor  2.077 
2005 Impact Factor  2.007 
2004 Impact Factor  1.741 
2003 Impact Factor  1.65 
2002 Impact Factor  1.851 
2001 Impact Factor  1.729 
2000 Impact Factor  1.721 
1999 Impact Factor  1.537 
1998 Impact Factor  1.737 
1997 Impact Factor  1.651 
1996 Impact Factor  1.718 
1995 Impact Factor  1.936 
1994 Impact Factor  2.282 
1993 Impact Factor  2.055 
1992 Impact Factor  1.942 
Impact factor over time
Additional details
5year impact  2.08 

Cited halflife  >10.0 
Immediacy index  0.92 
Eigenfactor  0.04 
Article influence  2.01 
Website  Communications in Mathematical Physics website 
Other titles  Communications in mathematical physics 
ISSN  00103616 
OCLC  1564493 
Material type  Periodical, Internet resource 
Document type  Journal / Magazine / Newspaper, Internet Resource 
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 Author's preprint on preprint servers such as arXiv.org
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Publications in this journal

Article: The Steep Nekhoroshev’s Theorem
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ABSTRACT: Revising Nekhoroshev’s geometry of resonances, we provide a fully constructive and quantitative proof of Nekhoroshev’s theorem for steep Hamiltonian systems proving, in particular, that the exponential stability exponent can be taken to be (Formula presented.)) ((Formula presented.)’s being Nekhoroshev’s steepness indices and (Formula presented.) the number of degrees of freedom). On the base of a heuristic argument, we conjecture that the new stability exponent is optimal.  [Show abstract] [Hide abstract]
ABSTRACT: Let μ be an arbitrary composition of M + N and let \({\mathfrak{s}}\) be an arbitrary \({0^{M}1^{N}}\) sequence. A new presentation, depending on \({\mu \rm and \mathfrak{s}}\), of the super Yangian Y MN associated to the general linear Lie superalgebra \({\mathfrak{gl}_{MN}}\) is obtained.  [Show abstract] [Hide abstract]
ABSTRACT: We develop a general instability index theory for an eigenvalue problem of the type \({\mathcal{L} u=\lambda u'}\), for a class of selfadjoint operators \({\mathcal{L}}\) on the line R 1. More precisely, we construct an Evanslike function to show (a real eigenvalue) instability in terms of a Vakhitov–Kolokolov type condition on the wave. If this condition fails, we show by means of Lyapunov–Schmidt reduction arguments and the Kapitula–Kevrekidis–Sandstede index theory that spectral stability holds. Thus, we have a complete spectral picture, under fairly general assumptions on \({\mathcal{L}}\). We apply the theory to a wide variety of examples. For the generalized Bullough–Dodd–Tzitzeica type models, we give instability results for travelling waves. For the generalized short pulse/Ostrovsky/Vakhnenko model, we construct (almost) explicit peakon solutions, which are found to be unstable, for all values of the parameters.  [Show abstract] [Hide abstract]
ABSTRACT: We consider a one dimensional many body fermionic system with a large incommensurate external potential and a weak short range interaction. We prove, for chemical potentials in a gap of the non interacting spectrum, that the zero temperature thermodynamical correlations are exponentially decaying for large distances, with a decay rate much larger than the gap; this indicates the persistence of localization in the interacting ground state. The analysis is based on the renormalization group, and convergence of the renormalized expansion is achieved using fermionic cancellations and controlling the small divisor problem assuming a Diophantine condition for the frequency.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we study mixedtype solutions of \({SU(3)}\) Chern–Simons system (see (1.4) below) on a two dimensional flat torus. Nolasco and Tarantello (Commun Math Phys 213:599–639, 2000), among other things, Nolasco and Tarantello obtained solutions of (1.4) as minimizers of several functionals closely related to (1.4), and showed that if \({N_1+N_2=1}\), then one of those minimizers turns out to be a mixedtype solution, that is, one component tends to \({\ln\frac{1}{2}}\) pointwise a.e. and the other component converges to a solution of a mean field equation. We call these kinds of solutions mixedtype (I) solutions. In this paper, we prove two main results: (i) the asymptotic analysis of mixedtype (I) solutions with arbitrary configuration of vortex points, and (ii) the existence of mixedtype (I) solutions under a nondegenerate condition. This nondegenerate condition also ensures some uniqueness result. In particular, our results imply that when \({N_1+N_2=1}\), there are only two mixedtype (I) solutions of (1.4).  [Show abstract] [Hide abstract]
ABSTRACT: It has been shown recently (Hollands and Kopper, Commun. Math. Phys. 313:257–290, 2012) that the mathematical status of the operator product expansion (OPE) is better than had previously been expected: namely considering massive Euclidean \({\varphi_4^4}\)theory in the perturbative loop expansion, the OPE converges at any loop order when considering (as is usually done) composite operator insertions into correlation functions. In the present paper we prove the same result for the massless theory. While the shortdistance properties of massive and massless theories may be expected to be similar on physical grounds, the proof in the massless case requires entirely new techniques, because we have to control with sufficient precision the exceptional momentum singularities of the massless correlation functions. The bounds we state are organised in terms of weight factors associated to certain tree graphs (“tree dominance”). Our proof is again based on the flow equations of the renormalisation group, which we combine with such graph structures.  [Show abstract] [Hide abstract]
ABSTRACT: We analyze a class of nonsimple exclusion processes and the corresponding growth models by generalizing Gaertners ColeHopf transformation. We identify the main nonlinearity and eliminate it by imposing a gradient type condition. For hopping range at most 3, using the generalized transformation, we prove the convergence of the exclusion process toward the KardarParisiZhang (KPZ) equation. This is the first universality result concerning interacting particle systems in the context of KPZ universality class. While this class of exclusion processes are not explicitly solvable, we obtain the exact onepoint limiting distribution for the step initial condition by using the previous result of Amir et al. (2011) and our convergence result.  [Show abstract] [Hide abstract]
ABSTRACT: For any toric CalabiYau 3orbifold with transverse Asingularities, we prove the GromovWitten/DonaldsonThomas correspondence and Ruan's crepant resolution conjecture in all genera.  [Show abstract] [Hide abstract]
ABSTRACT: In this work, we consider a finite dimensional Hamiltonian system that contains as a special case an exact discretization of the Lax equation for shock clustering. We characterize the generic coadjoint orbits of the underlying Lie group and establish the Liouville integrability of the system on such orbits. We also solve the Hamiltonian equation explicitly via Riemann–Hilbert factorization problems.  [Show abstract] [Hide abstract]
ABSTRACT: We prove the existence of a sequence of nondegenerate, in the sense of Duyckaerts–Kenig–Merle [9], nodal nonradial solutions to the critical Yamabe problem $$\Delta Q= Q^{\frac{2}{n2}} Q, \quad Q \in {\mathcal D}^{1,2}(\mathbb{R}^n).$$This is the first example in the literature of nondegeneracy for nodal nonradial solutions of nonlinear elliptic equations and it is also the only nontrivial example for which the result of Duyckaerts–Kenig–Merle [9] applies.  [Show abstract] [Hide abstract]
ABSTRACT: The Lie algebra (Formula presented.) of regular differential operators on the circle has a universal central extension (Formula presented.). The invariant subalgebra (Formula presented.) under an involution preserving the principal gradation was introduced by Kac, Wang, and Yan. The vacuum (Formula presented.)module with central charge (Formula presented.), and its irreducible quotient (Formula presented.), possess vertex algebra structures, and (Formula presented.) has a nontrivial structure if and only if (Formula presented.). We show that for each integer (Formula presented.), (Formula presented.) and (Formula presented.) are (Formula presented.)algebras of types (Formula presented.) and (Formula presented.), respectively. These results are formal consequences of Weyl’s first and second fundamental theorems of invariant theory for the orthogonal group (Formula presented.) and the symplectic group (Formula presented.), respectively. Based on Sergeev’s theorems on the invariant theory of (Formula presented.) we conjecture that (Formula presented.) is of type (Formula presented.), and we prove this for (Formula presented.). As an application, we show that invariant subalgebras of (Formula presented.)systems and free fermion algebras under arbitrary reductive group actions are strongly finitely generated.  [Show abstract] [Hide abstract]
ABSTRACT: We use Nahm data to describe candidates for the universal hyperkähler implosion with respect to a compact Lie group.  [Show abstract] [Hide abstract]
ABSTRACT: Global wellposedness and scattering for the cubic Dirac equation with small initial data in the critical space \({{H^{\frac{1}{2}}} (\mathbb{R}^{2}}\)) is established. The proof is based on a sharp endpoint Strichartz estimate for the Klein–Gordon equation in dimension n = 2, which is captured by constructing an adapted systems of coordinate frames.  [Show abstract] [Hide abstract]
ABSTRACT: We study the boundary singularity of the solutions to the Boltzmann equation in the kinetic theory. The solution has a jump discontinuity in the microscopic velocity \({\zeta}\) on the boundary and a secondary singularity of logarithmic type around the velocity tangential to the boundary, \({\zeta_{n} \sim 0_{}}\), where \({\zeta_{n}}\) is the component of molecular velocity normal to the boundary, pointing to the gas. We demonstrate this secondary singularity by obtaining an asymptotic formula for the derivative of the solution on the boundary with respect to \({\zeta_{n}}\) that diverges logarithmically when \({\zeta_{n} \sim 0_{}}\). Our study is for the thermal transpiration problem between two plates for the hard sphere gases with sufficiently large Knudsen number and with the diffuse reflection boundary condition. The solution is constructed and its singularity is studied by an iteration procedure.  [Show abstract] [Hide abstract]
ABSTRACT: In Rumanov (J Math Phys 56:013508, 2015), we found explicit Lax pairs for the soft edge of beta ensembles with even integer values of (Formula presented.). Using this general result, the case (Formula presented.) is further considered here. This is the smallest even (Formula presented.), when the corresponding Lax pair and its relation to Painlevé II (PII) have not been known before, unlike cases (Formula presented.) and 4. It turns out that again everything can be expressed in terms of the Hastings–McLeod solution of PII. In particular, a second order nonlinear ordinary differential equation (ODE) for the logarithmic derivative of Tracy–Widom distribution for (Formula presented.) involving the PII function in the coefficients is found, which allows one to compute asymptotics for the distribution function. The ODE is a consequence of a linear system of three ODEs for which the local singularity analysis yields series solutions with exponents in the set 4/3, 1/3 and −2/3.
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