We test a class of holographic models for the very early Universe against cosmological observations and find that they are competitive to standard cold dark matter model with constant ($\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$) cosmology. These based on three-dimensional perturbative superrenormalizable quantum field theory (QFT), and, while predict different power spectrum from law used in $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$, still provide an excellent fit data (within their...

We illustrate how the conformal Ward identities (CWI) and gravitational chiral anomaly completely determine structure of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mo stretchy="false">⟨</a:mo><a:mi>T</a:mi><a:mi>T</a:mi><a:msub><a:mi>J</a:mi><a:mn>5</a:mn></a:msub><a:mo stretchy="false">⟩</a:mo></a:math> (graviton-graviton-chiral gauge current) correlator in momentum space. This analysis extends our previous results on vertices <e:math...

Stress-energy correlation functions in a general Conformal Field Theory (CFT) four dimensions are described fully covariant approach, as metric variations of the quantum effective action an arbitrary curved space background field. All Conservation, Trace and Ward Identities (CWIs), including contact terms, completely fixed this approach. The CWIs anomalous. Their anomalous contributions may be computed unambiguously by variation exact 1PI determined conformal anomaly 〈Tμν〉 d=4 space. This...

We study a class of non-exotic minimal U(1)′ extensions the Standard Model, which includes all scenarios that are anomaly-free with ordinary fermion content augmented by one Right-Handed neutrino per generation, wherein new Abelian gauge group is spontaneously broken non-zero Vacuum Expectation Value an additional Higgs singlet field, in turn providing mass to Z ′ state. By adopting B − L example, whose results can be recast into those pertaining whole aforementioned class, and allowing for...

We present a general study of 3-point functions conformal field theory in momentum space, following reconstruction method for tensor correlators, based on the solution Ward identities (CWI's), introduced recent works by Bzowski, McFadden and Skenderis (BMS). investigate detail structure CWI's, their non-perturbative solutions transition to comparing them perturbation taking QED as an example. then proceed with analysis TJJ correlator, presenting independent detailed re-derivations equations...

A bstract We discuss specific hypergeometric solutions of the conformal Ward identities (CWI’s) scalar 4-point functions primary fields in momentum space, d spacetime dimensions. determine such using various dual ansätze (DCA’s). start from a generic correlator, and require it to be conformally covariant coordinate space. The two requirements constrain take unique form. They describe correlators which are at same time any dimension. These also show existence link between 3- CFT for class...

We examine the structure of off-shell effective actions arising from chiral and gravitational anomalies, focusing on $JJJ_A$ (axial-vector/vector/vector) $J_A TT $ (axial-vector/stress-energy tensors) correlators, relevant in analysis anomaly-driven interactions perturbation theory. Our approach relies conformal field theory momentum space, extended to anomalies. The centers presence both particle poles anomaly within these interactions, characterizing their behavior non limits. Through...

We compute in linearized gravity all the contributions to gravitational effective action due a virtual Dirac fermion, related conformal anomaly. This requires, perturbation theory, identification of gauge-gauge-graviton vertex off mass shell, involving correlator energy-momentum tensor and two vector currents ($TJJ$), which is responsible for generation gauge anomaly gravity. also present anomalous inverse fermion as Euler-Heisenberg case.

We present a renormalization group study of the scalar potential in minimal U(1) B−L extension Standard Model involving one extra heavier Higgs and three heavy right-handed neutrinos with family universal B-L charge assignments. implement type-I seesaw for masses light Model. In particular, compared to previous study, we perform two-loop evolution, showing that effects are essential stability up Planck scale. The analysis includes contribution kinetic mixing between two abelian gauge groups,...

We investigate a minimal $U(1)'$ extension of the Standard Model with one extra complex scalar and generic gauge charge assignments. use type-I seesaw mechanism three heavy right handed neutrinos to illustrate constraints on charges, their mass mixing angle two scalars, derived by requiring vacuum stability potential. focus our study scenario which could be accessible at LHC, selecting expectation value Higgs in TeV range determining that emerge parameter space. To generality approach,...

We present a study of the correlation function three stress-energy tensors in d dimensions using free field theory realizations, and compare them to exact solutions their conformal Ward identities (CWI's) obtained by general approach momentum space. The identification corresponding form factors is performed within reconstruction method, based on transverse traceless components (Ai) same correlator. primary CWI' s are found exploiting universality Fuchsian indices operators re-arrangement...

We derive and analyze the conformal Ward identities (CWI's) of a tensor 4-point function generic CFT in momentum space. The correlator involves stress-energy $T$ three scalar operators $O$ ($TOOO$). extend reconstruction method for correlators from 3- to functions, starting transverse traceless sector $TOOO$. structure corresponding CWI's two different sets variables, relevant analysis 1-to-3 (1 graviton $\to$ 3 scalars) 2-to-2 (graviton + scattering processes. equations are all expressed...

Abstract We analyze the parity-odd correlators $$\langle JJO\rangle _{odd},$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mo>⟨</mml:mo> <mml:mi>J</mml:mi> <mml:mi>O</mml:mi> <mml:mo>⟩</mml:mo> </mml:mrow> <mml:mi>odd</mml:mi> </mml:msub> <mml:mo>,</mml:mo> </mml:math> JJT\rangle <mml:mi>T</mml:mi> TTO\rangle _{odd}$$ and TTT\rangle in momentum space, constrained by conformal Ward identities, extending our former investigation of chiral anomaly vertex....

Abstract We illustrate how the Conformal Ward Identities (CWI) in momentum space for parity-odd correlators determine structure of a chiral anomaly interaction, taking example VVA (vector/vector/axial-vector) and AAA space. Only conservation anomalous WIs, together with Bose symmetry, are imposed from outset determination correlators. use longitudinal/transverse decomposition tensor structures form factors. The longitudinal (L) component is fixed by content pole, while transverse (T) sector...

Abstract Fundamental aspects of chiral anomaly‐driven interactions in conformal field theory (CFT) four spacetime dimensions are discussed. These find application very general contexts, from early universe plasma to topological condensed matter. The key shared characteristics these outlined, specifically addressing the case anomalies, both for vector currents and gravitons. In materials, gravitational anomaly is generated by thermal gradients via (Tolman–Ehrenfest) Luttinger relation. CFT...