Classical Simulations of Quantum **Field** **Theory** in Curved Spacetime I:
Fermionic Hawking-Hartle Vacua from a Staggered Lattice Scheme

**field**

**theory**(QFT) of free Dirac fermions in curved two-dimensional (Lorentzian) spacetime. Expand abstract.

**field**

**theory**(QFT) of free Dirac fermions in curved two-dimensional (Lorentzian) spacetime. First, we use a staggered-fermion discretization to generate a sequence of lattice

**theories**yielding the desired QFT in the continuum limit. Numerically-computed lattice correlators are then used to approximate, through extrapolation, those in the continuum. Finally, we use so-called point-splitting regularization and Hadamard renormalization to remove divergences, and thus obtain finite, renormalized expectation values of quadratic operators in the continuum. As illustrative applications, we show how to recover the Unruh effect in flat spacetime and how to compute renormalized expectation values in the Hawking-Hartle vacuum of a Schwarzschild black hole and in the Bunch-Davies vacuum of an expanding universe described by de Sitter spacetime. Although here we address a non-interacting QFT using free fermion techniques, the framework described in this paper lays the groundwork for a series of subsequent studies involving simulation of interacting QFTs in curved spacetime by tensor network techniques.

10/10 relevant

arXiv

On linear version of an elementary group **theory** result

**theory**theorem for primitive subspaces in a

**field**extension using tools from

**field**

**theory**and linear algebra. We also discuss partitions of finite

**fields**by using their primitive subspaces.

4/10 relevant

arXiv

Supersymmetric Soliton $\sigma$-models from Non-Lorentzian **Field**
**Theories**

**field**

**theories**was considered, in some cases describing M-

**theory**brane configurations, but more generally found as fixed points of non-Lorentzian RG flows induced upon Lorentzian

**theories**. In this paper, we demonstrate how the dynamics of such

**theories**can be reduced to motion on the supersymmetric moduli space of BPS solitons of the parent

**theory**. We focus first on the $\mathcal{N}=(1,1)$ $\sigma$-model in $(1+1)$-dimensions with potential, where we produce a supersymmetric extension to the standard geodesic approximation for slow kink motion. We then revisit the $(4+1)$-dimensional Yang-Mills-like

**theory**with 24 supercharges describing a null compactification of M5-branes. We show that the

**theory**reduces to a $\sigma$-model on instanton moduli space, extended by couplings to additional

**fields**from the parent theory, and possessing (8+8) super(conformal) symmetries along with 8 further fermionic shift symmetries. We derive this model explicitly for the single $SU(2)$ instanton.

8/10 relevant

arXiv

Late transition-metal oxides with infinite-layer structure: nickelate vs. cuprate

**theory**(DFT), self-interaction correction (SIC) and dynamical mean-

**field**

**theory**(DMFT) in the DFT+sicDMFT approach. While SrCuO$_2$ is verified as a charge-transfer insulator at strong coupling, a robust insulating regime remains absent in self-doped NdNiO$_2$ even for large interaction strength, though the transition-metal $d_{x^2-y^2}$ spectral weight becomes generally gapped in that limit. A notable hybridization between Ni$(3d)$ and Nd$(5d)$ is crucial for the appearance of the self-doping band. Supercell calculations provide access to realistic hole-doping effects. Whereas Sr$_{1-y}$CuO$_2$ shows the expected hole-doped cuprate signatures, the absence of significant Zhang-Rice physics as well as a doping-dependent $d_{z^2}$-versus-$d_{x^2-y^2}$ competition at low-energy is revealed for Nd$_{1-x}$Sr$_x$NiO$_2$.

4/10 relevant

arXiv

High-precision nuclear forces from chiral EFT: State-of-the-art, challenges and outlook

**field**

**theory**, discuss all steps needed to compute nuclear observables starting from the effective chiral Lagrangian and consider selected applications in the two- and few-nucleon sectors. Expand abstract.

**field**

**theory**using the recently proposed semilocal regularization method. We outline the conceptual foundations of nuclear chiral effective

**field**theory, discuss all steps needed to compute nuclear observables starting from the effective chiral Lagrangian and consider selected applications in the two- and few-nucleon sectors. We highlight key challenges in developing high-precision tree-body forces, such as the need to maintain consistency between two- and many-body interactions and constraints placed by the chiral and gauge symmetries after regularization.

5/10 relevant

arXiv

Proximity effect in a heterostructure of a high $T_c$ superconductor
with a topological insulator from Dynamical mean **field** **theory**

**field**

**theory**(CDMFT), the TI layers being included via the CDMFT self-consistency loop. Expand abstract.

**field**

**theory**(CDMFT), the TI layers being included via the CDMFT self-consistency loop. The penetration of superconductivity into the TI depends on the position of the Fermi level with respect to the TI gap. We illustrate the back action of the TI layer on the HTSC layer, in particular the gradual disappearance of Mott physics with increasing tunneling amplitude.

10/10 relevant

arXiv

Modeling Choice Paradoxes Under Risk: From Prospect **Theories** to Sampling-Based Accounts

**Field**

**Theory**(DFTe), have been proposed as possible alternatives to CPT. Expand abstract.

**theories**(e.g., Expected Utility Theory). One of the most popular and celebrated models in the literature, Cumulative Prospect

**Theory**(CPT), has managed to retain its status despite a growing body of empirical evidence stemming from a collection of choice paradoxes that reject it. Two alternative models, Transfer of Attention Exchange (TAX) and an extension of Decision

**Field**

**Theory**(DFTe), have been proposed as possible alternatives to CPT. To date, no study has directly compared these three models within the context of a large set of lottery problems that tests different choice paradoxes. The present study accomplishes this by using a large and diverse set of lottery problems, involving both potential gains and losses. Our results support the presence and robustness of a set of ‘strong’ choice paradoxes that reject CPT irrespective of its parametric form. Model comparison results show that DFTe provides the best account for the present set of lottery problems, as it is able to accommodate the choice data at large in a parsimonious fashion. The success of DFTe shows that many behavioral phenomena, including paradoxes that CPT cannot account for, can be successfully captured by a simple noisy-sampling process. Overall, our results suggest that researchers should move away from CPT, and focus their efforts on alternative models such as DFTe.

4/10 relevant

PsyArXiv

Sewing states of quantum **field** **theory**

**field**

**theory**there are no constraints on sewing local states. The reason is that rotating $\omega^{(i)}$ by a unitary $U_i$ in $A_i$ we come arbitrarily close to any other $\psi^{(i)}$. We construct explicit unitaries that sew local states.

9/10 relevant

arXiv

Scalar-**field** potential for viable models in $f(R)$ **theory**

**theory**of gravity can be expressed as a scalar tensor

**theory**with a scalar degree of freedom $\phi$. By a conformal transformation, the action and its Gibbons-York-Hawking boundary term are written in the Einstein frame and the

**field**equations are found. An effective potential is defined from part of the trace of the

**field**equations in such a way that it can be calculated as an integral of a purely geometric term. This potential as well as the scalar potential are found, plotted and analyzed for some viable models of $f(R)$ and for two other proposed new, shown viable, models.

4/10 relevant

arXiv

Galois symbol maps for abelian varieties over a $p$-adic **field**

**field**. As a byproduct, one can calculate the "class group" in the view of the class

**field**

**theory**for curves over a $p$-adic

**field**.

5/10 relevant

arXiv