Augmented and virtual reality display systems increase viewer comfort by reducing viewer exposure to virtual content that causes undesirable accommodation-vergence mismatches (AVM). The display systems limit displaying content that exceeds an accommodation-vergence mismatch threshold, which may define a volume around the viewer. The volume may be subdivided into two or more zones, including an innermost loss-of-fusion zone (LoF) in which no content is displayed, and one or more outer AVM zones in which the displaying of content may be stopped, or clipped, under certain conditions. For example, content may be clipped if the viewer is verging within an AVM zone and if the content is displayed within the AVM zone for more than a threshold duration. A further possible condition for clipping content is that the user is verging on that content. In addition, the boundaries of the AVM zone and/or the acceptable amount of time that the content is displayed may vary depending upon the type of content being displayed, e.g., whether the content is user-locked content or in-world content.