scholarly journals Appendix. Philosophical Background of Yukawa Theory

1991 ◽  
Vol 105 ◽  
pp. 18-20
Author(s):  
Takehiko Takabayasi
Author(s):  
Paul Kalligas

This is the first volume of a groundbreaking commentary on one of the most important works of ancient philosophy, the Enneads of Plotinus—a text that formed the basis of Neoplatonism and had a deep influence on early Christian thought and medieval and Renaissance philosophy. This volume covers the first three of the six Enneads, as well as Porphyry’s Life of Plotinus, a document in which Plotinus’s student—the collector and arranger of the Enneads—introduces the philosopher and his work. A landmark contribution to modern Plotinus scholarship, this commentary is the most detailed and extensive ever written for the whole of the Enneads. For each of the treatises in the first three Enneads, the volume provides a brief introduction that presents the philosophical background against which Plotinus’s contribution can be assessed; a synopsis giving the main lines and the articulation of the argument; and a running commentary placing Plotinus’s thought in its intellectual context and making evident the systematic association of its various parts with each other.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. Liam Fitzpatrick ◽  
Emanuel Katz ◽  
Matthew T. Walters ◽  
Yuan Xin

Abstract We use Lightcone Conformal Truncation to analyze the RG flow of the two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. the theory of a real scalar superfield with a ℤ2-symmetric cubic superpotential, aka the 2d Wess-Zumino model. The theory depends on a single dimensionless coupling $$ \overline{g} $$ g ¯ , and is expected to have a critical point at a tuned value $$ {\overline{g}}_{\ast } $$ g ¯ ∗ where it flows in the IR to the Tricritical Ising Model (TIM); the theory spontaneously breaks the ℤ2 symmetry on one side of this phase transition, and breaks SUSY on the other side. We calculate the spectrum of energies as a function of $$ \overline{g} $$ g ¯ and see the gap close as the critical point is approached, and numerically read off the critical exponent ν in TIM. Beyond the critical point, the gap remains nearly zero, in agreement with the expectation of a massless Goldstino. We also study spectral functions of local operators on both sides of the phase transition and compare to analytic predictions where possible. In particular, we use the Zamolodchikov C-function to map the entire phase diagram of the theory. Crucial to this analysis is the fact that our truncation is able to preserve supersymmetry sufficiently to avoid any additional fine tuning.


2012 ◽  
Vol 29 (2) ◽  
pp. 1-21
Author(s):  
Syed Zahir Idid ◽  
Abdurezak A. Hashi

Among the basic objectives of the Islamic Shari‘ah is to protect the human life and human intellect ‒ as such, the consumption of mind-altering and intoxicative substances is prohibited in Islam. Furthermore, Islam imposes criminal penalties on those who consume intoxicative substances such as wine. Muslim jurists (fuqahā) have provided descriptive accounts on the foundations of the Islamic antidrug abuse teachings, categories of mind-altering substances, and preventive laws. They also identified three categories of mind-altering substances: al-muskirāt, al-mukhaddirāt, and al-muftiraāt. This paper aims to explore the rationale and jurisprudential foundations of Islamic antidrug abuse education. While highlighting the philosophical background of the Islamic antidrug teachings, the paper presents the jurisprudential foundations of the legal penalties for drug abusers. The Qur’ānic terms and the Prophetic statements related to the subject will be referred to, while the opinions of Muslim jurists and theologians on the subject will be unveiled.


PMLA ◽  
2014 ◽  
Vol 129 (3) ◽  
pp. 491-497
Author(s):  
Mieke Bal

Unlike most others teaching (English) literature, Gayatri Chakravorty Spivak is intimately knowledgeable about philosophy, especially German. Her deep knowledge of Kant, Marx, and Gramsci is a red thread running through her many books. And, given her interest in what we call less and less happily “postcolonial” theory (the hesitation coming from an awareness of the problematic meaning of the prefix post-), her discussions of such canonical and inexhaustible philosophical texts never lose sight of the sociopolitical implications of the ideas gleaned from the encounter. Thus, she brings a philosophical tradition to bear on contemporary social issues of a keen actuality. This solid philosophical background does not make her texts always easy to read for literary and other cultural scholars eager to get ideas—preferably quickly—about “how to do” postcolonial literary studies. Spivak's work is as challenging to read, understand, and absorb as it is important in content.


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