1,616 research outputs found
Two-loop off-shell QCD amplitudes in FDR
We link the FDR treatment of ultraviolet (UV) divergences to dimensional
regularization up to two loops in QCD. This allows us to derive the one-loop
and two-loop coupling constant and quark mass shifts necessary to translate
infrared finite quantities computed in FDR to the MSbar renormalization scheme.
As a by-product of our analysis, we solve a problem analogous to the breakdown
of unitarity in the Four Dimensional Helicity (FDH) method beyond one loop. A
fix to FDH is then presented that preserves the renormalizability properties of
QCD without introducing evanescent quantities.Comment: 25 pages, 6 figure
Differential equations from unitarity cuts: nonplanar hexa-box integrals
We compute -factorized differential equations for all
dimensionally-regularized integrals of the nonplanar hexa-box topology, which
contribute for instance to 2-loop 5-point QCD amplitudes. A full set of pure
integrals is presented. For 5-point planar topologies, Gram determinants which
vanish in dimensions are used to build compact expressions for pure
integrals. Using unitarity cuts and computational algebraic geometry, we obtain
a compact IBP system which can be solved in 8 hours on a single CPU core,
overcoming a major bottleneck for deriving the differential equations.
Alternatively, assuming prior knowledge of the alphabet of the nonplanar
hexa-box, we reconstruct analytic differential equations from 30 numerical
phase-space points, making the computation almost trivial with current
techniques. We solve the differential equations to obtain the values of the
master integrals at the symbol level. Full results for the differential
equations and solutions are included as supplementary material.Comment: 31 pages, 2 figures. Version 2: final journal version; includes
solutions to differential equation
Inaugurated Hyperspace
Several philosophers of religion have used contemporary work on the metaphysics of space to dismantle objections to Christian doctrine. In this paper I shall also make use of work in the metaphysics of space to explore a topic in Christian thought that has received little attention by philosophers, namely inaugurated eschatology. My aim will be to take the conclusions of some biblical scholars who have written on this topic, and then begin to provide some metaphysical models of this doctrine, so as to overcome objections against inaugurated eschatology based on metaphysical concerns
Presentism, Timelessness, and Evil
There is an objection to divine timelessness which claims that timelessness shouldnât be adopted since on this view evil is never âdestroyed,â âvanquished,â âeradicatedâ or defeated. By contrast, some divine temporalists think that presentism is the key that allows evil to be destroyed/vanquished/eradicated/defeated. However, since presentism is often considered to be inconsistent with timelessness, it is thought that the presentist solution is not available for defenders of timelessness. In this paper I first show how divine timelessness is consistent with a presentist view of time and then how defenders of Presentist-Timelessness can adopt the presentist solution to the removal of evil. After this, I conclude the paper by showing that itâs far from clear that the presentist solution is successful and that unless one weakens what is meant by the destruction/vanquishing/eradication/defeat of evil, one can only make the presentist solution work by adopting a number of additional assumptions that many will find unattractive
Arguing to theism from consciousness
I provide an argument from consciousness for Godâs existence. I first give a form of the argument which ultimately, I think is difficult to evaluate. As such I move on to provide what I take to be a stronger argument, where I claim that consciousness given our worldly laws of nature offers rather substantial evidence for Godâs existence. It is this latter point the paper largely focuses on, both in setting it out and defending it from various objections
The âPowerâ-ful Trinity
This paper proposes a new orthodox Latin Trinitarian model of the Trinity, through employing current work from the metaphysics of powers. It outlines theses defended within the contemporary powers literature that form the backbone of the account and then shows how they can be combined to provide an orthodox metaphysics of the Trinity. Having done this it addresses a further element required for orthodoxy, the ontological priority of the Father, and then notes a particular benefit that comes along with the model. The paper concludes by posing and answering some objections one might raise against the account
Fine-tuned of necessity?
This paper seeks to explicate and analyze an alternative response to fine-tuning arguments from those that are typically givenânamely, design or brute contingency. The response I explore is based on necessity, the necessitarian response. After showing how necessity blocks the argument, I explicate the reply I claim necessitarians can give and suggest how its three requirements can be met: firstly, that laws are metaphysically necessary; secondly, that constants are metaphysically necessary; and thirdly, that the fundamental properties that determine the laws and constants are necessary. After discussing each in turn, I end the paper by assessing how the response fares when running the fine-tuning argument in two ways, as an inference to best explanation and as a Bayesian argument
Ergonomics and human water carrying
The simplest aim of many water projects is to reduce the distance that people carry water because that task is tiring,
time consuming and has negative long term effects on health. However, there are places where the point of water collection cannot be brought closer to the user. In these circumstances it is necessary to focus attention onto
the carrying task itself. Ideally in such situations humans should not have to carry the whole burden of the water
but should use simple wheeled devices or animal haulage. However, these may not always be available in which case
humans will be left carrying water in the traditional way: in some kind of container, supported on some part of the
body. The aim of this paper is to describe a set of laboratory experiments comparing water carrying devices and to set out a simple methodology for further field studies. First, however, the general principles of good carrying will be established
- âŠ