Following the flow for large N and large charge

Abstract We study operators in the rank-j totally symmetric representation of O(N) in the critical O(N) model in arbitrary dimension d, in the limit of large N and large charge j with j/N ≡ $$ \hat{j} $$ j ̂ fixed. The scaling dimensions of the operators in this limit may be obtained by a semiclassical saddle point calculation. Using the standard Hubbard-Stratonovich description of the critical O(N) model at large N, we solve the relevant saddle point equation and determine the scaling dimensions as a function of d and $$ \hat{j} $$ j ̂ , finding agreement with all existing results in various limits. In 4 < d < 6, we observe that the scaling dimension of the large charge operators becomes complex above a critical value of the ratio j/N, signaling an instability of the theory in that range of d. Finally, we also derive results for the correlation functions involving two “heavy” and one or two “light” operators. In particular, we determine the form of the “heavy-heavy-light” OPE coefficients as a function of the charges and d.

Download Full-text

Large-N expansion in field theory

Physics Subject Headings (PhySH) ◽

10.29172/6cacb9c180004368b2e6b7d540567281 ◽

2018 ◽

Keyword(s):

Field Theory ◽

Large N ◽

Large N Expansion

Download Full-text

Using Item-level Analyses to Better Understand the Consequences of Partialing Procedures: An Example Using the Dark Triad

10.31234/osf.io/3bzpt ◽

2019 ◽

Author(s):

Colin Vize ◽

Katherine Collison ◽

Donald Lynam ◽

Josh Miller

Keyword(s):

Psychological Research ◽

Dark Triad ◽

Small Samples ◽

Residual Content ◽

Fine Grained ◽

Large N ◽

Dirty Dozen ◽

Item Level ◽

Variable Content ◽

Small N

Objective: Partialing procedures are frequently used in psychological research. The present study sought to further explore the consequences of partialing, focusing on the replicability of partialing-based results. Method: We used popular measures of the Dark Triad (DT; Machiavellianism, narcissism, and psychopathy) to explore the replicability of partialing procedures. We examined whether the residual content of popular DT scales are similar to the residual content of DT scales derived from separate samples based on relations with individual items from the IPIP-NEO-120, allowing for a fine-grained analysis of residual variable content. Results: Profiles were compared using three sample sizes (Small N=156-157, Moderate N = 313-314, Large N = 627-628) randomly drawn from a large MTurk sample (N = 1,255). There was low convergence among original/residual DT scales within samples. Additionally, results showed the content of residual Dirty Dozen scales was not similar across samples. Similar results were found for Short Dark Triad-Machiavellianism, but only in the moderate and small samples. Conclusion: The results indicate that there are important issues that arise when using partialing procedures, including replicability issues surrounding residual variables. Reasons for the observed results are discussed and further research examining the replicability of residual-based results is recommended.

Download Full-text

Political identity over personal impact: Early US reactions to the COVID-19 pandemic

10.31234/osf.io/jeq6y ◽

2020 ◽

Author(s):

Robert N Collins ◽

David R. Mandel ◽

Sarah S. Schywiola

Keyword(s):

Emotional Distress ◽

Strong Influence ◽

Political Identity ◽

Organizational Response ◽

Threat Perception ◽

Attitudes And Beliefs ◽

Value Differences ◽

Personal Impact ◽

Large N ◽

Weak Influence

Research suggests political identity has strong influence over individuals’ attitudes and beliefs, which in turn can affect their behavior. Likewise, firsthand experience with an issue can also affect attitudes and beliefs. A large (N = 10,362) survey (Pew Research and Ipsos W64) of Americans was analyzed to investigate the effects of both political identity and personal impact on individuals’ reactions to the COVID-19 pandemic. Results show that political identity (i.e., Democrat or Republican) and personal impact (i.e., personally affected or not) influenced different aspects of the American public’s reaction to COVID-19. Political identity exerted a strong influence on self-reports of emotional distress, threat perception, discomfort with exposure, support for restrictions, and perception of under/overreaction by individuals and institutions. Personal impact exerted a comparatively weaker influence on reported emotional distress and threat perception. Both factors had a weak influence on appraisal of individual and organizational and community responses. The dominating influence of political identity carried over into the bivariate relations among these responses. In particular, the appraisal of organizational response divided along party lines, tied to opposing views of whether there has been over- or under-reaction to the pandemic. The dominance of political identity has important implications for crisis management and reflects the influence of normative value differences between the parties, partisan messaging on the pandemic, and polarization in American politics.

Download Full-text

OnPoint: A package for online experiments in motor control and motor learning

10.31234/osf.io/hwmpy ◽

2020 ◽

Author(s):

Jonathan Sanching Tsay ◽

Alan S. Lee ◽

Guy Avraham ◽

Darius E. Parvin ◽

Jeremy Ho ◽

...

Keyword(s):

Motor Control ◽

Motor Learning ◽

Open Source Software ◽

Research Progress ◽

Global Pandemic ◽

Large N ◽

Open Source Software Package ◽

Potential Applications ◽

Temporal And Spatial ◽

The One

Motor learning experiments are typically run in-person, exploiting finely calibrated setups (digitizing tablets, robotic manipulandum, full VR displays) that provide high temporal and spatial resolution. However, these experiments come at a cost, not limited to the one-time expense of purchasing equipment but also the substantial time devoted to recruiting participants and administering the experiment. Moreover, exceptional circumstances that limit in-person testing, such as a global pandemic, may halt research progress. These limitations of in-person motor learning research have motivated the design of OnPoint, an open-source software package for motor control and motor learning researchers. As with all online studies, OnPoint offers an opportunity to conduct large-N motor learning studies, with potential applications to do faster pilot testing, replicate previous findings, and conduct longitudinal studies (GitHub repository: https://github.com/alan-s-lee/OnPoint).

Download Full-text

Is Pre-College Interpersonal Trauma Associated with Cannabis Use?

10.31234/osf.io/qhufj ◽

2020 ◽

Author(s):

Terrell A Hicks ◽

Daniel Bustamante ◽

Kaitlin E Bountress ◽

Amy Adkins ◽

Dace S Svikis ◽

...

Keyword(s):

College Students ◽

Interpersonal Trauma ◽

Demographic Variables ◽

Cannabis Use ◽

First Year ◽

Southeastern Part ◽

First Year College ◽

Large N ◽

First Year College Students ◽

Experimental Use

Objective: To examine the prevalence and correlates of lifetime cannabis use (i.e., experimental [use 1-5 times] and non-experimental [use ≥ 6 times]) in relation to demographics, interpersonal trauma (IPT), and alcohol and nicotine use.Participants: A large (n = 9,889) representative sample of college students at an urban college campus in the southeastern part of the United States.Methods: Participants were 4 cohorts of first-year college students who completed measures of demographic variables, cannabis, alcohol, nicotine, and IPT. Associations were estimated using multinomial logistic regressions.Results: The prevalence of lifetime cannabis use was 45.5%. Specifically, 28.1% reported non-experimental cannabis use and 17.4% reported experimental cannabis use. Race, cohort, nicotine, and IPT were associated with experimental and non-experimental cannabis use. Additionally, alcohol and sex were associated with non-experimental cannabis use.Conclusions: Results show that cannabis use is prevalent among college students and is associated with race, IPT, and other substance use.

Download Full-text