This paper is concerned with the integrodifferential equation

Citation: Petereit DG and Coleman CN (2015) Editorial: " Global Challenges in Radiation Oncology " .

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. In 2 þ 1 dimensions at finite temperature, spontaneous symmetry breaking of global symmetries is precluded by large...

July 2016 marked the fiftieth anniversary of the release of Equality of Educational Opportunity (hereafter EEO), commonly known as the Coleman Report after the lead investigator of the research team, James S. Coleman (Coleman et al. 1966). The Coleman Report and Educational Inequality Fifty Years Later celebrates the occasion. To set the stage for the papers that follow, we take a brief look in...

We study the Coleman-Weinberg phenomenon in a U(N)×U(N) symmetric scalar model in 4 dimensions. By comparing the numerical simulation results with the bare perturbation calculation in the weak bare coupling region, we demonstrate explicitly that a first order transition is induced by loop-effects. We also observed first order phase transitions in the strong coupling region. Email address: shen@...

The Lagrangian density in the problem is L = − 1 4 (F µν) 2 + (D µ φ) † D µ φ − m 2 φ † φ − λ 6 (φ † φ) 2 , (1) where φ(x) is a complex scalar field in four spacetime dimensions (except for part (h)), and we are interested in the theory when m 2 = −µ 2 < 0. The covariant derivative includes the vector potential D µ φ = (∂ µ + ieA µ)φ. (2) I don't know why they chose this funny normalization for...

Coleman (1971) suggested two indices of voting power, power to prevent an action and power to initiate an action. This paper rigorously demonstrates relationship between the two indices and shows that they satisfy several attractive properties. It is also shown that an attainable upper bound of the power to prevent an action can as well be regarded as a suitable voting power index.

Coleman’s theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic regulators in K-theory (including p-adic heights on elliptic curves). We describe an algorithm for computing Coleman integrals on hyperelliptic curves, and its implementation in Sage.

In the standard model (SM) the condition that the Higgs mass parameter vanishes is stable under radiative corrections and yields a theory that can be renormalized using dimensional regularization. Thus, this model allows to predict the Higgs boson mass. However, it is phenomenologically ruled out in its minimal version. Here, we present a phenomenologically viable, minimal extension which only ...

As part of my introductory lectures on Coleman integration, to be published in the proceedings of PIA 2010 The arithmetic of fundamental groups, I discussed the Galois theory of differential equations and the theory of differential Tannakian categories, with a speculative application to Coleman integration in families. The referee of the paper thought it was not appropriate to discuss this mate...