n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order

We compute, to the lowest perturbative order in SU(N) Yang-Mills theory, n-point correlators in the coordinate and momentum representation of the gauge-invariant twist-2 operators with maximal spin along the p+ direction, both in Minkowskian and — by analytic continuation — Euclidean space-time. We also construct the corresponding generating functionals. Remarkably, they have the structure of the logarithm of a functional determinant of the identity plus a term involving the effective propagators that act on the appropriate source fields.

The HGR motif is the antiangiogenic determinant of vasoinhibin: implications for a therapeutic orally active oligopeptide

The hormone prolactin acquires antiangiogenic and antivasopermeability properties after undergoing proteolytic cleavage to vasoinhibin, an endogenous prolactin fragment of 123 or more amino acids that inhibits the action of multiple proangiogenic factors. Preclinical and clinical evidence supports the therapeutic potential of vasoinhibin against angiogenesis-related diseases including diabetic retinopathy, peripartum cardiomyopathy, rheumatoid arthritis, and cancer. However, the use of vasoinhibin in the clinic has been limited by difficulties in its production. Here, we removed this barrier to using vasoinhibin as a therapeutic agent by showing that a short linear motif of just three residues (His46-Gly47-Arg48) (HGR) is the functional determinant of vasoinhibin. The HGR motif is conserved throughout evolution, its mutation led to vasoinhibin loss of function, and oligopeptides containing this sequence inhibited angiogenesis and vasopermeability with the same potency as whole vasoinhibin. Furthermore, the oral administration of an optimized cyclic retro-inverse vasoinhibin heptapeptide containing HGR inhibited melanoma tumor growth and vascularization in mice and exhibited equal or higher antiangiogenic potency than other antiangiogenic molecules currently used as anti-cancer drugs in the clinic. Finally, by unveiling the mechanism that obscures the HGR motif in prolactin, we anticipate the development of vasoinhibin-specific antibodies to solve the on-going challenge of measuring endogenous vasoinhibin levels for diagnostic and interventional purposes, the design of vasoinhibin antagonists for managing insufficient angiogenesis, and the identification of putative therapeutic proteins containing HGR.

Logarithmic correction to the entropy of extremal black holes in $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.

Integrating out new fermions at one loop

We present the fermionic universal one-loop effective action obtained by integrating out heavy vector-like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions with non-chiral interactions, i.e. vanishing γ5 interaction terms, the computations proceed in a tedious manner that obscures a physical interpretation. We show how directly tackling the fermionic functional determinant not only allows for a much simpler and transparent computation, but is also able to account for chiral interaction terms in a simple, algorithmic way. Finally, we apply the obtained results to integrate out at one loop the vector-like fermions appearing in a toy model and in a fermionic model that exhibits strong cosmological phase transitions.

The Romance Verb

This book is the first ever comprehensive comparative–historical survey of patterns of alternation in the Romance verb that appear to be autonomously morphological in the sense that, although they can be shown to be persistent through time, they have long ceased to be conditioned by any phonological or functional determinant. Some of these patterns are well known in Romance linguistics, while others have scarcely been noticed. The sheer range of phenomena that participate in them far surpasses what Romance linguists had previously realized. The patterns constitute a kind of abstract leitmotif, which runs through the history of the Romance languages and confers on them a distinctive morphological phsyiognomy. Although intended primarily as a novel contribution to comparative–historical Romance linguistics, the book considers in detail the status of patterns that appear to be, in the terminology of Mark Aronoff, ‘morphomic’: a matter of ‘morphology by itself’, unsupported by determining factors external to the morphological system. Particular attention is paid to the problem of their persistence, self-replication, and reinforcement over time. Why do abstract morphological patterns that quite literally do not make sense display such diachronic robustness? The evidence suggests that speakers, faced with different ways of expressing semantically identical material, seek out distributional templates into which those differences can be deployed. In Romance, the only available templates happen to be morphomic, morphologically accidental effects of old sound changes or defunct functional conditionings. Those patterns are accordingly exploited and reinforced by being made maximally predictable.

Soliton operators in the quantum equivalence of the CP1 and O(3) - σmodels

We discuss some interesting aspects of the well known quantum equivalence between the O(3) - σ and CP1 models in 3D, working inthe canonical and in the path integral formulations. We show first that the canonical quantization in the hamiltonian formulation is freeof ordering ambiguities for both models. We use the canonical map between the fields and momenta of the two models and compute therelevant functional determinant to verify the equivalence between the phase-space partition functions and the quantum equivalence in allthe topological sectors. We also use the explicit form of the map to construct the soliton operator of the O(3) - σ model starting from therepresentation of the operator in the CP1 model, and discuss their properties.